GRASP
Collection
Models and datasets for the paper "GRASP: Graph Reasoning via Agentic Solving and Probing of LLMs". • 4 items • Updated • 1
dataset_name stringclasses 1
value | task stringclasses 9
values | case stringclasses 44
values | prompt stringlengths 799 6.65k | answer stringlengths 1 486 | nodes stringclasses 23
values | edges stringlengths 72 991 | direction stringclasses 2
values | samples stringclasses 91
values | name_to_id_mapping stringlengths 119 626 | source_file stringclasses 1
value | answer_type stringclasses 2
values |
|---|---|---|---|---|---|---|---|---|---|---|---|
real_erdos | bipartite_matching | ad_placement | Match advertisers Ad_Campaign_B, Creative_2, Commercial_B, Video_Ad_1, Display_Ad_B, Advertisement_2, Banner_Y, Ad_Campaign_A, Promotion_Beta, Banner_X, Sponsored_Content_1, Advertisement_1, Commercial_A, Creative_1, Native_Ad_A to ad spaces Website_1, Inventory_Slot_2, Inventory_Slot_1, Platform_Alpha, Ad_Space_B, Zon... | [["Ad_Campaign_B", "Website_1"], ["Creative_2", "Platform_Alpha"], ["Commercial_B", "Inventory_Slot_2"], ["Video_Ad_1", "Zone_B"], ["Display_Ad_B", "Ad_Space_B"], ["Advertisement_2", "Spot_2"], ["Banner_Y", "Ad_Space_A"], ["Ad_Campaign_A", "Inventory_Slot_1"], ["Promotion_Beta", "Channel_X"], ["Banner_X", "Position_B"]... | (0, 30) | [[0, 15], [0, 18], [0, 20], [0, 24], [0, 26], [1, 15], [1, 18], [1, 23], [1, 25], [1, 27], [1, 29], [2, 15], [2, 16], [2, 17], [2, 21], [2, 25], [2, 26], [2, 27], [2, 28], [3, 15], [3, 18], [3, 20], [3, 21], [3, 22], [3, 27], [3, 29], [4, 16], [4, 18], [4, 19], [4, 20], [4, 21], [4, 23], [4, 27], [4, 28], [5, 16], [5, ... | undirected | none | {"Ad_Campaign_B": "0", "Creative_2": "1", "Commercial_B": "2", "Video_Ad_1": "3", "Display_Ad_B": "4", "Advertisement_2": "5", "Banner_Y": "6", "Ad_Campaign_A": "7", "Promotion_Beta": "8", "Banner_X": "9", "Sponsored_Content_1": "10", "Advertisement_1": "11", "Commercial_A": "12", "Creative_1": "13", "Native_Ad_A": "14... | none | node_list |
real_erdos | bipartite_matching | ad_placement | Match advertisers Ad_Campaign_B, Banner_X, Sponsored_Content_1, Promotion_Beta, Sponsored_Content_2, Advertisement_2, Video_Ad_1 to ad spaces Publisher_B, Spot_1, Website_1, Platform_Alpha, Position_A, Inventory_Slot_2, Placement_1 based on requirements Ad_Campaign_B is relevant to Platform_Alpha. Ad_Campaign_B is rele... | [["Ad_Campaign_B", "Platform_Alpha"], ["Banner_X", "Inventory_Slot_2"], ["Sponsored_Content_1", "Spot_1"], ["Promotion_Beta", "Placement_1"], ["Sponsored_Content_2", "Publisher_B"], ["Advertisement_2", "Position_A"], ["Video_Ad_1", "Website_1"]] | (0, 14) | [[0, 10], [0, 11], [0, 13], [1, 10], [1, 11], [1, 12], [2, 8], [3, 11], [3, 13], [4, 7], [4, 8], [4, 10], [4, 13], [5, 7], [5, 8], [5, 10], [5, 11], [5, 13], [6, 7], [6, 8], [6, 9], [6, 13]] | undirected | none | {"Ad_Campaign_B": "0", "Banner_X": "1", "Sponsored_Content_1": "2", "Promotion_Beta": "3", "Sponsored_Content_2": "4", "Advertisement_2": "5", "Video_Ad_1": "6", "Publisher_B": "7", "Spot_1": "8", "Website_1": "9", "Platform_Alpha": "10", "Position_A": "11", "Inventory_Slot_2": "12", "Placement_1": "13"} | none | node_list |
real_erdos | bipartite_matching | ad_placement | For digital advertising with campaigns Ad_Campaign_A, Commercial_B, Creative_1, Ad_Campaign_B, Advertisement_2, Video_Ad_2, Display_Ad_B, Native_Ad_A, Display_Ad_A, Commercial_A, Advertisement_1, Banner_Y and inventory Channel_Y, Spot_2, Platform_Beta, Inventory_Slot_2, Website_2, Ad_Space_A, Ad_Space_B, given audience... | [["Ad_Campaign_A", "Website_2"], ["Commercial_B", "Channel_Y"], ["Creative_1", "Platform_Beta"], ["Ad_Campaign_B", "Inventory_Slot_2"], ["Video_Ad_2", "Ad_Space_B"], ["Display_Ad_B", "Ad_Space_A"], ["Advertisement_1", "Spot_2"]] | (0, 19) | [[0, 16], [1, 12], [1, 14], [1, 18], [2, 14], [2, 17], [3, 15], [3, 17], [3, 18], [4, 14], [4, 16], [5, 18], [6, 12], [6, 15], [6, 16], [6, 17], [7, 12], [7, 14], [7, 17], [7, 18], [8, 16], [8, 17], [9, 12], [9, 14], [9, 16], [9, 18], [10, 12], [10, 13], [10, 14], [10, 16], [10, 17], [10, 18], [11, 14]] | undirected | none | {"Ad_Campaign_A": "0", "Commercial_B": "1", "Creative_1": "2", "Ad_Campaign_B": "3", "Advertisement_2": "4", "Video_Ad_2": "5", "Display_Ad_B": "6", "Native_Ad_A": "7", "Display_Ad_A": "8", "Commercial_A": "9", "Advertisement_1": "10", "Banner_Y": "11", "Channel_Y": "12", "Spot_2": "13", "Platform_Beta": "14", "Invento... | none | node_list |
real_erdos | bipartite_matching | ad_placement | Given promotional content Video_Ad_1, Promotion_Alpha, Creative_2, Display_Ad_B, Creative_1 and display opportunities Spot_1, Platform_Beta, Channel_X, Inventory_Slot_1, Ad_Space_A, Platform_Alpha, Publisher_A, Position_A, Position_B, Inventory_Slot_2, Zone_A with constraints Video_Ad_1 fits the content of Spot_1. Vide... | [["Video_Ad_1", "Spot_1"], ["Promotion_Alpha", "Channel_X"], ["Creative_2", "Platform_Beta"], ["Display_Ad_B", "Inventory_Slot_1"], ["Creative_1", "Platform_Alpha"]] | (0, 16) | [[0, 5], [0, 6], [0, 7], [0, 8], [0, 9], [0, 11], [0, 12], [0, 13], [1, 5], [1, 7], [1, 8], [1, 9], [1, 13], [1, 14], [1, 15], [2, 6], [2, 7], [2, 12], [2, 13], [2, 15], [3, 5], [3, 7], [3, 8], [3, 9], [3, 11], [3, 12], [3, 13], [3, 15], [4, 5], [4, 8], [4, 10], [4, 13], [4, 15]] | undirected | none | {"Video_Ad_1": "0", "Promotion_Alpha": "1", "Creative_2": "2", "Display_Ad_B": "3", "Creative_1": "4", "Spot_1": "5", "Platform_Beta": "6", "Channel_X": "7", "Inventory_Slot_1": "8", "Ad_Space_A": "9", "Platform_Alpha": "10", "Publisher_A": "11", "Position_A": "12", "Position_B": "13", "Inventory_Slot_2": "14", "Zone_A... | none | node_list |
real_erdos | bipartite_matching | ad_placement | For digital advertising with campaigns Promotion_Alpha, Display_Ad_B, Native_Ad_A, Creative_1, Video_Ad_1, Promotion_Beta, Banner_Y and inventory Placement_1, Zone_B, Ad_Space_A, Spot_1, Placement_2, Website_2, Ad_Space_B, Inventory_Slot_2, Channel_Y, Position_B, Publisher_B, Website_1, given audience targeting Promoti... | [["Promotion_Alpha", "Zone_B"], ["Display_Ad_B", "Ad_Space_A"], ["Native_Ad_A", "Placement_1"], ["Creative_1", "Spot_1"], ["Video_Ad_1", "Placement_2"], ["Promotion_Beta", "Inventory_Slot_2"], ["Banner_Y", "Website_2"]] | (0, 19) | [[0, 8], [0, 9], [0, 10], [0, 12], [0, 16], [0, 18], [1, 8], [1, 9], [1, 11], [1, 12], [1, 13], [1, 15], [1, 17], [1, 18], [2, 7], [2, 8], [2, 9], [2, 18], [3, 8], [3, 10], [3, 11], [3, 12], [3, 14], [3, 17], [3, 18], [4, 9], [4, 10], [4, 11], [4, 14], [4, 15], [4, 17], [5, 8], [5, 10], [5, 14], [5, 16], [5, 17], [5, 1... | undirected | none | {"Promotion_Alpha": "0", "Display_Ad_B": "1", "Native_Ad_A": "2", "Creative_1": "3", "Video_Ad_1": "4", "Promotion_Beta": "5", "Banner_Y": "6", "Placement_1": "7", "Zone_B": "8", "Ad_Space_A": "9", "Spot_1": "10", "Placement_2": "11", "Website_2": "12", "Ad_Space_B": "13", "Inventory_Slot_2": "14", "Channel_Y": "15", "... | none | node_list |
real_erdos | bipartite_matching | ad_placement | Given promotional content Commercial_B, Promotion_Beta, Advertisement_1, Banner_Y, Native_Ad_A, Promotion_Alpha, Video_Ad_1, Advertisement_2, Commercial_A, Sponsored_Content_2 and display opportunities Placement_1, Placement_2, Spot_1, Publisher_B, Zone_A, Platform_Beta, Publisher_A, Channel_X with constraints Commerci... | [["Commercial_B", "Placement_1"], ["Promotion_Beta", "Channel_X"], ["Advertisement_1", "Spot_1"], ["Banner_Y", "Platform_Beta"], ["Native_Ad_A", "Publisher_A"], ["Promotion_Alpha", "Publisher_B"], ["Video_Ad_1", "Placement_2"], ["Advertisement_2", "Zone_A"]] | (0, 18) | [[0, 10], [0, 12], [0, 13], [0, 15], [0, 17], [1, 13], [1, 17], [2, 12], [2, 14], [2, 15], [3, 10], [3, 12], [3, 15], [3, 17], [4, 10], [4, 16], [5, 12], [5, 13], [5, 16], [6, 11], [6, 17], [7, 14], [7, 16], [8, 11], [8, 12], [9, 11]] | undirected | none | {"Commercial_B": "0", "Promotion_Beta": "1", "Advertisement_1": "2", "Banner_Y": "3", "Native_Ad_A": "4", "Promotion_Alpha": "5", "Video_Ad_1": "6", "Advertisement_2": "7", "Commercial_A": "8", "Sponsored_Content_2": "9", "Placement_1": "10", "Placement_2": "11", "Spot_1": "12", "Publisher_B": "13", "Zone_A": "14", "Pl... | none | node_list |
real_erdos | bipartite_matching | ad_placement | For digital advertising with campaigns Creative_2, Advertisement_1, Native_Ad_A, Video_Ad_2, Ad_Campaign_A, Promotion_Beta, Display_Ad_A, Display_Ad_B, Creative_1, Commercial_A, Sponsored_Content_1, Banner_X and inventory Zone_A, Spot_1, Ad_Space_A, Publisher_A, Channel_Y, Inventory_Slot_1, Ad_Space_B, Platform_Beta, P... | [["Creative_2", "Zone_A"], ["Advertisement_1", "Ad_Space_A"], ["Native_Ad_A", "Channel_Y"], ["Video_Ad_2", "Spot_1"], ["Ad_Campaign_A", "Inventory_Slot_1"], ["Promotion_Beta", "Platform_Alpha"], ["Display_Ad_A", "Platform_Beta"], ["Display_Ad_B", "Publisher_A"], ["Creative_1", "Ad_Space_B"], ["Commercial_A", "Position_... | (0, 22) | [[0, 12], [0, 13], [0, 14], [0, 16], [0, 17], [0, 19], [0, 20], [1, 12], [1, 14], [1, 15], [1, 16], [1, 20], [2, 12], [2, 16], [2, 17], [2, 21], [3, 13], [3, 15], [3, 17], [3, 20], [3, 21], [4, 13], [4, 17], [4, 18], [4, 19], [4, 20], [5, 12], [5, 16], [5, 20], [6, 12], [6, 13], [6, 19], [7, 12], [7, 13], [7, 15], [7, ... | undirected | none | {"Creative_2": "0", "Advertisement_1": "1", "Native_Ad_A": "2", "Video_Ad_2": "3", "Ad_Campaign_A": "4", "Promotion_Beta": "5", "Display_Ad_A": "6", "Display_Ad_B": "7", "Creative_1": "8", "Commercial_A": "9", "Sponsored_Content_1": "10", "Banner_X": "11", "Zone_A": "12", "Spot_1": "13", "Ad_Space_A": "14", "Publisher_... | none | node_list |
real_erdos | bipartite_matching | ad_placement | Given promotional content Advertisement_1, Banner_X, Advertisement_2, Sponsored_Content_1, Sponsored_Content_2, Video_Ad_1, Creative_2, Commercial_B, Promotion_Alpha and display opportunities Channel_Y, Spot_1, Spot_2, Ad_Space_A, Channel_X, Inventory_Slot_2, Zone_A, Website_2, Placement_2, Inventory_Slot_1, Publisher_... | [["Advertisement_1", "Channel_Y"], ["Banner_X", "Channel_X"], ["Advertisement_2", "Spot_1"], ["Sponsored_Content_1", "Spot_2"], ["Sponsored_Content_2", "Inventory_Slot_2"], ["Video_Ad_1", "Ad_Space_A"], ["Creative_2", "Zone_A"], ["Commercial_B", "Website_2"], ["Promotion_Alpha", "Placement_2"]] | (0, 24) | [[0, 9], [0, 10], [0, 12], [0, 15], [0, 19], [0, 20], [0, 21], [0, 22], [0, 23], [1, 13], [1, 16], [1, 18], [1, 20], [1, 23], [2, 9], [2, 10], [2, 14], [2, 15], [2, 16], [2, 18], [2, 21], [2, 23], [3, 11], [3, 12], [3, 15], [3, 16], [3, 19], [4, 14], [4, 15], [4, 16], [4, 19], [4, 20], [4, 22], [4, 23], [5, 9], [5, 12]... | undirected | none | {"Advertisement_1": "0", "Banner_X": "1", "Advertisement_2": "2", "Sponsored_Content_1": "3", "Sponsored_Content_2": "4", "Video_Ad_1": "5", "Creative_2": "6", "Commercial_B": "7", "Promotion_Alpha": "8", "Channel_Y": "9", "Spot_1": "10", "Spot_2": "11", "Ad_Space_A": "12", "Channel_X": "13", "Inventory_Slot_2": "14", ... | none | node_list |
real_erdos | bipartite_matching | ad_placement | Given promotional content Creative_2, Banner_Y, Native_Ad_A, Promotion_Beta, Commercial_B, Video_Ad_2, Display_Ad_B, Ad_Campaign_A, Sponsored_Content_1, Ad_Campaign_B, Banner_X, Display_Ad_A and display opportunities Zone_B, Publisher_B, Platform_Beta, Placement_2, Channel_X, Position_B, Channel_Y, Publisher_A with con... | [["Creative_2", "Platform_Beta"], ["Banner_Y", "Position_B"], ["Native_Ad_A", "Placement_2"], ["Promotion_Beta", "Zone_B"], ["Commercial_B", "Publisher_B"], ["Video_Ad_2", "Channel_X"], ["Display_Ad_B", "Channel_Y"], ["Ad_Campaign_A", "Publisher_A"]] | (0, 20) | [[0, 13], [0, 14], [0, 15], [0, 16], [0, 18], [1, 13], [1, 17], [1, 19], [2, 13], [2, 15], [2, 19], [3, 12], [3, 13], [3, 15], [4, 12], [4, 13], [4, 15], [5, 12], [5, 13], [5, 16], [5, 18], [6, 12], [6, 16], [6, 17], [6, 18], [6, 19], [7, 13], [7, 17], [7, 19], [8, 12], [8, 16], [8, 17], [8, 19], [9, 13], [9, 15], [9, ... | undirected | none | {"Creative_2": "0", "Banner_Y": "1", "Native_Ad_A": "2", "Promotion_Beta": "3", "Commercial_B": "4", "Video_Ad_2": "5", "Display_Ad_B": "6", "Ad_Campaign_A": "7", "Sponsored_Content_1": "8", "Ad_Campaign_B": "9", "Banner_X": "10", "Display_Ad_A": "11", "Zone_B": "12", "Publisher_B": "13", "Platform_Beta": "14", "Placem... | none | node_list |
real_erdos | bipartite_matching | ad_placement | Match advertisers Advertisement_1, Creative_2, Video_Ad_2, Sponsored_Content_2, Display_Ad_A, Advertisement_2 to ad spaces Channel_Y, Website_1, Publisher_A, Website_2, Publisher_B, Ad_Space_A based on requirements Advertisement_1 fits the content of Publisher_A. Creative_2 fits the content of Channel_Y. Creative_2 tar... | [["Advertisement_1", "Publisher_A"], ["Creative_2", "Website_1"], ["Video_Ad_2", "Website_2"], ["Sponsored_Content_2", "Channel_Y"], ["Display_Ad_A", "Publisher_B"], ["Advertisement_2", "Ad_Space_A"]] | (0, 12) | [[0, 8], [1, 6], [1, 7], [1, 8], [1, 10], [2, 9], [2, 11], [3, 6], [4, 6], [4, 8], [4, 9], [4, 10], [4, 11], [5, 11]] | undirected | none | {"Advertisement_1": "0", "Creative_2": "1", "Video_Ad_2": "2", "Sponsored_Content_2": "3", "Display_Ad_A": "4", "Advertisement_2": "5", "Channel_Y": "6", "Website_1": "7", "Publisher_A": "8", "Website_2": "9", "Publisher_B": "10", "Ad_Space_A": "11"} | none | node_list |
real_erdos | bipartite_matching | ad_placement | For digital advertising with campaigns Promotion_Alpha, Native_Ad_A, Banner_Y, Creative_1, Promotion_Beta, Display_Ad_B, Ad_Campaign_B, Commercial_A and inventory Spot_1, Publisher_B, Platform_Beta, Ad_Space_B, Position_B, Publisher_A, given audience targeting Promotion_Alpha targets the audience of Spot_1. Promotion_A... | [["Promotion_Alpha", "Spot_1"], ["Native_Ad_A", "Platform_Beta"], ["Banner_Y", "Position_B"], ["Creative_1", "Ad_Space_B"], ["Promotion_Beta", "Publisher_B"], ["Display_Ad_B", "Publisher_A"]] | (0, 14) | [[0, 8], [0, 11], [0, 12], [1, 10], [1, 12], [2, 10], [2, 12], [3, 11], [3, 13], [4, 8], [4, 9], [4, 10], [4, 11], [4, 13], [5, 9], [5, 13], [6, 9], [6, 10], [6, 12], [7, 8], [7, 11], [7, 12]] | undirected | none | {"Promotion_Alpha": "0", "Native_Ad_A": "1", "Banner_Y": "2", "Creative_1": "3", "Promotion_Beta": "4", "Display_Ad_B": "5", "Ad_Campaign_B": "6", "Commercial_A": "7", "Spot_1": "8", "Publisher_B": "9", "Platform_Beta": "10", "Ad_Space_B": "11", "Position_B": "12", "Publisher_A": "13"} | none | node_list |
real_erdos | bipartite_matching | ad_placement | Given promotional content Promotion_Alpha, Creative_2, Promotion_Beta, Commercial_A, Commercial_B, Creative_1, Advertisement_1, Display_Ad_B, Video_Ad_2, Ad_Campaign_B, Sponsored_Content_2, Banner_Y, Native_Ad_A, Sponsored_Content_1 and display opportunities Inventory_Slot_1, Platform_Beta, Publisher_B, Website_1, Spot... | [["Promotion_Alpha", "Channel_X"], ["Creative_2", "Inventory_Slot_1"], ["Promotion_Beta", "Publisher_B"], ["Commercial_A", "Spot_2"], ["Commercial_B", "Platform_Beta"], ["Advertisement_1", "Website_1"]] | (0, 20) | [[0, 19], [1, 14], [1, 17], [1, 18], [2, 14], [2, 16], [2, 18], [2, 19], [3, 14], [3, 18], [4, 14], [4, 15], [4, 16], [4, 17], [4, 18], [4, 19], [5, 15], [5, 16], [6, 15], [6, 17], [6, 19], [7, 14], [7, 15], [7, 17], [7, 18], [8, 14], [8, 15], [8, 17], [8, 19], [9, 14], [9, 15], [9, 19], [10, 15], [10, 16], [10, 17], [... | undirected | none | {"Promotion_Alpha": "0", "Creative_2": "1", "Promotion_Beta": "2", "Commercial_A": "3", "Commercial_B": "4", "Creative_1": "5", "Advertisement_1": "6", "Display_Ad_B": "7", "Video_Ad_2": "8", "Ad_Campaign_B": "9", "Sponsored_Content_2": "10", "Banner_Y": "11", "Native_Ad_A": "12", "Sponsored_Content_1": "13", "Inventor... | none | node_list |
real_erdos | bipartite_matching | ad_placement | For digital advertising with campaigns Promotion_Alpha, Ad_Campaign_B, Promotion_Beta, Banner_X, Creative_2 and inventory Placement_1, Placement_2, Channel_X, Platform_Alpha, Publisher_B, Website_2, Zone_A, Position_B, Platform_Beta, Zone_B, Inventory_Slot_1, Position_A, Channel_Y, given audience targeting Promotion_Al... | [["Promotion_Alpha", "Placement_2"], ["Ad_Campaign_B", "Platform_Alpha"], ["Promotion_Beta", "Channel_X"], ["Banner_X", "Placement_1"], ["Creative_2", "Publisher_B"]] | (0, 18) | [[0, 6], [0, 7], [0, 8], [0, 9], [0, 10], [0, 13], [0, 17], [1, 6], [1, 8], [1, 10], [1, 15], [1, 16], [2, 7], [2, 13], [3, 5], [3, 6], [3, 9], [3, 11], [3, 12], [3, 14], [4, 5], [4, 8], [4, 9], [4, 11], [4, 12], [4, 13], [4, 15], [4, 16]] | undirected | none | {"Promotion_Alpha": "0", "Ad_Campaign_B": "1", "Promotion_Beta": "2", "Banner_X": "3", "Creative_2": "4", "Placement_1": "5", "Placement_2": "6", "Channel_X": "7", "Platform_Alpha": "8", "Publisher_B": "9", "Website_2": "10", "Zone_A": "11", "Position_B": "12", "Platform_Beta": "13", "Zone_B": "14", "Inventory_Slot_1":... | none | node_list |
real_erdos | bipartite_matching | ad_placement | Given promotional content Display_Ad_B, Sponsored_Content_1, Creative_2, Banner_Y, Ad_Campaign_A, Banner_X, Creative_1, Sponsored_Content_2, Commercial_A, Commercial_B, Ad_Campaign_B, Video_Ad_2 and display opportunities Inventory_Slot_1, Channel_Y, Platform_Alpha, Placement_2, Zone_B, Website_1, Position_A, Ad_Space_A... | [["Display_Ad_B", "Inventory_Slot_1"], ["Sponsored_Content_1", "Placement_1"], ["Creative_2", "Ad_Space_B"], ["Banner_Y", "Placement_2"], ["Ad_Campaign_A", "Ad_Space_A"], ["Banner_X", "Zone_B"], ["Creative_1", "Website_1"], ["Sponsored_Content_2", "Platform_Beta"], ["Commercial_A", "Zone_A"], ["Commercial_B", "Position... | (0, 25) | [[0, 12], [0, 21], [1, 14], [1, 24], [2, 12], [2, 13], [2, 14], [2, 17], [2, 18], [2, 20], [2, 21], [2, 24], [3, 12], [3, 13], [3, 15], [3, 17], [3, 19], [3, 20], [4, 14], [4, 19], [4, 20], [4, 22], [4, 24], [5, 15], [5, 16], [6, 17], [6, 20], [7, 13], [7, 14], [7, 19], [7, 23], [8, 14], [8, 15], [8, 16], [8, 22], [9, ... | undirected | none | {"Display_Ad_B": "0", "Sponsored_Content_1": "1", "Creative_2": "2", "Banner_Y": "3", "Ad_Campaign_A": "4", "Banner_X": "5", "Creative_1": "6", "Sponsored_Content_2": "7", "Commercial_A": "8", "Commercial_B": "9", "Ad_Campaign_B": "10", "Video_Ad_2": "11", "Inventory_Slot_1": "12", "Channel_Y": "13", "Platform_Alpha": ... | none | node_list |
real_erdos | bipartite_matching | ad_placement | For digital advertising with campaigns Display_Ad_A, Ad_Campaign_A, Creative_2, Ad_Campaign_B, Video_Ad_2 and inventory Inventory_Slot_2, Placement_2, Spot_2, Publisher_B, Spot_1, Inventory_Slot_1, Website_1, Platform_Alpha, Publisher_A, Position_B, Website_2, Placement_1, given audience targeting Display_Ad_A is suita... | [["Display_Ad_A", "Inventory_Slot_2"], ["Ad_Campaign_A", "Placement_2"], ["Creative_2", "Spot_2"], ["Ad_Campaign_B", "Publisher_B"], ["Video_Ad_2", "Spot_1"]] | (0, 17) | [[0, 5], [0, 7], [0, 8], [0, 9], [0, 10], [0, 11], [0, 13], [0, 14], [0, 15], [0, 16], [1, 5], [1, 6], [1, 7], [1, 8], [1, 13], [1, 14], [1, 16], [2, 5], [2, 7], [2, 9], [2, 10], [2, 11], [2, 13], [2, 15], [3, 6], [3, 8], [3, 9], [3, 14], [4, 6], [4, 7], [4, 9], [4, 10], [4, 12], [4, 14], [4, 15], [4, 16]] | undirected | none | {"Display_Ad_A": "0", "Ad_Campaign_A": "1", "Creative_2": "2", "Ad_Campaign_B": "3", "Video_Ad_2": "4", "Inventory_Slot_2": "5", "Placement_2": "6", "Spot_2": "7", "Publisher_B": "8", "Spot_1": "9", "Inventory_Slot_1": "10", "Website_1": "11", "Platform_Alpha": "12", "Publisher_A": "13", "Position_B": "14", "Website_2"... | none | node_list |
real_erdos | bipartite_matching | ad_placement | Match advertisers Native_Ad_A, Advertisement_1, Creative_1, Advertisement_2, Promotion_Beta, Video_Ad_2, Promotion_Alpha, Ad_Campaign_B, Display_Ad_A, Video_Ad_1 to ad spaces Publisher_B, Channel_X, Platform_Beta, Website_2, Placement_1, Ad_Space_A, Ad_Space_B, Zone_A based on requirements Native_Ad_A is suitable for P... | [["Native_Ad_A", "Platform_Beta"], ["Advertisement_1", "Ad_Space_A"], ["Creative_1", "Publisher_B"], ["Advertisement_2", "Channel_X"], ["Promotion_Beta", "Ad_Space_B"], ["Video_Ad_2", "Placement_1"], ["Promotion_Alpha", "Website_2"], ["Ad_Campaign_B", "Zone_A"]] | (0, 18) | [[0, 12], [0, 15], [0, 17], [1, 15], [2, 10], [2, 16], [3, 11], [3, 15], [4, 12], [4, 16], [5, 14], [5, 15], [6, 13], [7, 11], [7, 12], [7, 13], [7, 17], [8, 10], [8, 15], [8, 16], [9, 11], [9, 13], [9, 16], [9, 17]] | undirected | none | {"Native_Ad_A": "0", "Advertisement_1": "1", "Creative_1": "2", "Advertisement_2": "3", "Promotion_Beta": "4", "Video_Ad_2": "5", "Promotion_Alpha": "6", "Ad_Campaign_B": "7", "Display_Ad_A": "8", "Video_Ad_1": "9", "Publisher_B": "10", "Channel_X": "11", "Platform_Beta": "12", "Website_2": "13", "Placement_1": "14", "... | none | node_list |
real_erdos | bipartite_matching | ad_placement | For digital advertising with campaigns Video_Ad_2, Sponsored_Content_2, Promotion_Alpha, Advertisement_1, Commercial_A, Ad_Campaign_B, Advertisement_2, Video_Ad_1, Banner_Y, Commercial_B, Ad_Campaign_A, Sponsored_Content_1, Native_Ad_A, Creative_1 and inventory Inventory_Slot_2, Position_B, Website_2, Ad_Space_A, Place... | [["Video_Ad_2", "Inventory_Slot_2"], ["Sponsored_Content_2", "Position_B"], ["Promotion_Alpha", "Website_2"], ["Advertisement_1", "Placement_1"], ["Video_Ad_1", "Ad_Space_A"]] | (0, 19) | [[0, 14], [0, 16], [0, 17], [0, 18], [1, 15], [1, 16], [1, 17], [1, 18], [2, 14], [2, 15], [2, 16], [2, 17], [3, 18], [4, 14], [4, 15], [4, 16], [4, 18], [5, 18], [6, 14], [6, 15], [7, 15], [7, 17], [7, 18], [8, 16], [8, 17], [8, 18], [9, 15], [10, 14], [10, 16], [10, 17], [11, 15], [11, 16], [11, 18], [12, 16], [13, 1... | undirected | none | {"Video_Ad_2": "0", "Sponsored_Content_2": "1", "Promotion_Alpha": "2", "Advertisement_1": "3", "Commercial_A": "4", "Ad_Campaign_B": "5", "Advertisement_2": "6", "Video_Ad_1": "7", "Banner_Y": "8", "Commercial_B": "9", "Ad_Campaign_A": "10", "Sponsored_Content_1": "11", "Native_Ad_A": "12", "Creative_1": "13", "Invent... | none | node_list |
real_erdos | bipartite_matching | ad_placement | An ad platform matches ads to publishers. Ads: Advertisement_1, Ad_Campaign_A, Commercial_B, Video_Ad_1, Creative_2, Display_Ad_A. Publisher slots: Position_B, Platform_Alpha, Ad_Space_A, Zone_B, Zone_A, Spot_2, Website_2, Channel_X, Inventory_Slot_2, Publisher_B. Targeting criteria: Advertisement_1 targets the audienc... | [["Advertisement_1", "Zone_A"], ["Ad_Campaign_A", "Ad_Space_A"], ["Commercial_B", "Position_B"], ["Video_Ad_1", "Platform_Alpha"], ["Creative_2", "Channel_X"], ["Display_Ad_A", "Website_2"]] | (0, 16) | [[0, 10], [0, 11], [0, 14], [1, 8], [1, 9], [1, 13], [1, 15], [2, 6], [2, 9], [2, 10], [2, 11], [2, 13], [3, 6], [3, 7], [3, 8], [3, 9], [3, 13], [3, 15], [4, 6], [4, 7], [4, 10], [4, 12], [4, 13], [5, 12]] | undirected | none | {"Advertisement_1": "0", "Ad_Campaign_A": "1", "Commercial_B": "2", "Video_Ad_1": "3", "Creative_2": "4", "Display_Ad_A": "5", "Position_B": "6", "Platform_Alpha": "7", "Ad_Space_A": "8", "Zone_B": "9", "Zone_A": "10", "Spot_2": "11", "Website_2": "12", "Channel_X": "13", "Inventory_Slot_2": "14", "Publisher_B": "15"} | none | node_list |
real_erdos | bipartite_matching | ad_placement | Match advertisers Promotion_Beta, Sponsored_Content_1, Display_Ad_A, Commercial_A, Advertisement_1 to ad spaces Spot_1, Zone_A, Platform_Beta, Publisher_A, Zone_B, Inventory_Slot_1, Position_B, Ad_Space_B, Website_1, Ad_Space_A, Publisher_B, Spot_2, Inventory_Slot_2, Placement_2 based on requirements Promotion_Beta is ... | [["Promotion_Beta", "Spot_1"], ["Sponsored_Content_1", "Publisher_A"], ["Display_Ad_A", "Zone_A"], ["Commercial_A", "Platform_Beta"], ["Advertisement_1", "Inventory_Slot_1"]] | (0, 19) | [[0, 5], [0, 9], [0, 11], [0, 13], [0, 17], [0, 18], [1, 5], [1, 8], [1, 12], [1, 14], [1, 15], [1, 16], [1, 18], [2, 6], [2, 9], [2, 10], [2, 11], [2, 15], [2, 17], [2, 18], [3, 7], [3, 15], [3, 16], [4, 6], [4, 10], [4, 11], [4, 13], [4, 16], [4, 18]] | undirected | none | {"Promotion_Beta": "0", "Sponsored_Content_1": "1", "Display_Ad_A": "2", "Commercial_A": "3", "Advertisement_1": "4", "Spot_1": "5", "Zone_A": "6", "Platform_Beta": "7", "Publisher_A": "8", "Zone_B": "9", "Inventory_Slot_1": "10", "Position_B": "11", "Ad_Space_B": "12", "Website_1": "13", "Ad_Space_A": "14", "Publisher... | none | node_list |
real_erdos | bipartite_matching | ad_placement | Match advertisers Native_Ad_A, Promotion_Beta, Creative_2, Display_Ad_A, Video_Ad_1, Advertisement_2, Banner_Y to ad spaces Publisher_B, Ad_Space_B, Position_B, Spot_1, Platform_Beta, Platform_Alpha, Placement_1, Zone_A, Placement_2, Channel_X, Position_A, Ad_Space_A, Channel_Y based on requirements Native_Ad_A is suit... | [["Native_Ad_A", "Ad_Space_B"], ["Promotion_Beta", "Publisher_B"], ["Creative_2", "Channel_X"], ["Display_Ad_A", "Platform_Alpha"], ["Video_Ad_1", "Position_B"], ["Advertisement_2", "Platform_Beta"], ["Banner_Y", "Spot_1"]] | (0, 20) | [[0, 8], [0, 9], [0, 11], [0, 13], [0, 14], [0, 15], [0, 17], [0, 18], [0, 19], [1, 7], [1, 9], [1, 10], [1, 12], [1, 14], [1, 17], [1, 18], [2, 16], [2, 17], [3, 7], [3, 12], [3, 14], [3, 16], [4, 9], [4, 13], [4, 14], [4, 15], [5, 8], [5, 9], [5, 11], [5, 16], [5, 17], [5, 18], [6, 8], [6, 10], [6, 12], [6, 19]] | undirected | none | {"Native_Ad_A": "0", "Promotion_Beta": "1", "Creative_2": "2", "Display_Ad_A": "3", "Video_Ad_1": "4", "Advertisement_2": "5", "Banner_Y": "6", "Publisher_B": "7", "Ad_Space_B": "8", "Position_B": "9", "Spot_1": "10", "Platform_Beta": "11", "Platform_Alpha": "12", "Placement_1": "13", "Zone_A": "14", "Placement_2": "15... | none | node_list |
real_erdos | bipartite_matching | job_assignment | In a talent matching system with applicants Employee_B, Expert_1, Worker_2, Employee_A, Staff_Alpha, Specialist_A, Analyst_2, Developer_1, Manager_2, Designer_A, Worker_3, Designer_B, Staff_Gamma, Technician_B, Engineer_X and roles Program_2, Program_1, Project_Alpha, Campaign_A, Mission_A, Task_2, Operation_2, Activit... | [["Employee_B", "Project_Alpha"], ["Expert_1", "Mission_B"], ["Worker_2", "Task_2"], ["Employee_A", "Program_1"], ["Staff_Alpha", "Program_2"], ["Specialist_A", "Campaign_A"], ["Analyst_2", "Activity_B"], ["Developer_1", "Operation_2"], ["Manager_2", "Initiative_2"], ["Designer_A", "Role_1"], ["Worker_3", "Project_Beta... | (0, 28) | [[0, 17], [0, 18], [0, 21], [0, 23], [0, 26], [1, 17], [1, 19], [1, 21], [1, 22], [1, 24], [1, 25], [1, 27], [2, 17], [2, 20], [2, 21], [2, 22], [2, 24], [2, 25], [2, 27], [3, 16], [3, 22], [3, 27], [4, 15], [4, 16], [4, 17], [4, 18], [4, 20], [4, 21], [4, 22], [4, 25], [5, 15], [5, 16], [5, 17], [5, 18], [5, 21], [5, ... | undirected | none | {"Employee_B": "0", "Expert_1": "1", "Worker_2": "2", "Employee_A": "3", "Staff_Alpha": "4", "Specialist_A": "5", "Analyst_2": "6", "Developer_1": "7", "Manager_2": "8", "Designer_A": "9", "Worker_3": "10", "Designer_B": "11", "Staff_Gamma": "12", "Technician_B": "13", "Engineer_X": "14", "Program_2": "15", "Program_1"... | none | node_list |
real_erdos | bipartite_matching | job_assignment | HR is matching candidates to positions. Candidates: Analyst_2, Engineer_Y, Developer_2, Staff_Alpha, Employee_B, Designer_B, Consultant_1. Open positions: Task_1, Position_B, Activity_A, Job_X, Position_A, Role_1, Mission_B, Project_Alpha, Role_2, Assignment_A, Operation_2, Operation_1. Skill compatibilities: Analyst_2... | [["Analyst_2", "Task_1"], ["Engineer_Y", "Position_B"], ["Developer_2", "Activity_A"], ["Staff_Alpha", "Position_A"], ["Employee_B", "Job_X"], ["Designer_B", "Project_Alpha"], ["Consultant_1", "Operation_2"]] | (0, 19) | [[0, 7], [0, 10], [0, 12], [0, 13], [0, 15], [1, 8], [1, 9], [1, 10], [1, 12], [1, 13], [1, 14], [1, 17], [1, 18], [2, 9], [2, 12], [2, 15], [2, 16], [2, 18], [3, 7], [3, 8], [3, 9], [3, 11], [3, 12], [3, 13], [3, 17], [3, 18], [4, 7], [4, 9], [4, 10], [4, 11], [4, 13], [4, 14], [5, 14], [5, 15], [5, 17], [6, 7], [6, 8... | undirected | none | {"Analyst_2": "0", "Engineer_Y": "1", "Developer_2": "2", "Staff_Alpha": "3", "Employee_B": "4", "Designer_B": "5", "Consultant_1": "6", "Task_1": "7", "Position_B": "8", "Activity_A": "9", "Job_X": "10", "Position_A": "11", "Role_1": "12", "Mission_B": "13", "Project_Alpha": "14", "Role_2": "15", "Assignment_A": "16",... | none | node_list |
real_erdos | bipartite_matching | job_assignment | For workforce allocation, we have workers Worker_3, Staff_Alpha, Technician_B, Consultant_2, Employee_A, Specialist_B, Worker_1, Manager_2, Worker_2, Developer_1, Developer_2 and tasks Program_1, Position_A, Role_2, Activity_B, Mission_A, Program_2, Project_Beta, Assignment_A. Capability matrix: Worker_3 matches the re... | [["Worker_3", "Program_1"], ["Staff_Alpha", "Assignment_A"], ["Technician_B", "Position_A"], ["Consultant_2", "Role_2"], ["Employee_A", "Activity_B"], ["Specialist_B", "Project_Beta"], ["Manager_2", "Mission_A"], ["Worker_2", "Program_2"]] | (0, 19) | [[0, 11], [0, 12], [0, 13], [0, 15], [0, 16], [1, 18], [2, 12], [2, 17], [3, 13], [3, 15], [4, 13], [4, 14], [4, 15], [4, 16], [4, 17], [4, 18], [5, 17], [6, 12], [6, 17], [7, 14], [7, 15], [7, 16], [7, 17], [8, 16], [8, 18], [9, 14], [9, 15], [9, 16], [9, 18], [10, 14], [10, 15], [10, 18]] | undirected | none | {"Worker_3": "0", "Staff_Alpha": "1", "Technician_B": "2", "Consultant_2": "3", "Employee_A": "4", "Specialist_B": "5", "Worker_1": "6", "Manager_2": "7", "Worker_2": "8", "Developer_1": "9", "Developer_2": "10", "Program_1": "11", "Position_A": "12", "Role_2": "13", "Activity_B": "14", "Mission_A": "15", "Program_2": ... | none | node_list |
real_erdos | bipartite_matching | job_assignment | HR is matching candidates to positions. Candidates: Specialist_B, Worker_1, Designer_A, Consultant_1, Analyst_1, Analyst_2, Staff_Alpha, Engineer_Y, Worker_3, Staff_Gamma, Consultant_2, Specialist_A, Employee_A. Open positions: Role_1, Program_2, Mission_A, Activity_A, Task_3, Project_Gamma, Project_Beta, Task_1, Campa... | [["Specialist_B", "Project_Alpha"], ["Worker_1", "Activity_A"], ["Designer_A", "Mission_A"], ["Consultant_1", "Project_Gamma"], ["Analyst_1", "Activity_B"], ["Analyst_2", "Task_1"], ["Staff_Alpha", "Role_1"], ["Engineer_Y", "Project_Beta"], ["Worker_3", "Campaign_B"], ["Staff_Gamma", "Campaign_A"], ["Consultant_2", "Ta... | (0, 25) | [[0, 14], [0, 19], [0, 20], [0, 22], [1, 16], [1, 21], [1, 24], [2, 15], [2, 22], [2, 24], [3, 14], [3, 16], [3, 18], [3, 21], [4, 14], [4, 15], [4, 16], [4, 23], [4, 24], [5, 15], [5, 16], [5, 20], [6, 13], [6, 14], [6, 17], [6, 18], [6, 20], [6, 21], [6, 22], [6, 24], [7, 13], [7, 19], [7, 21], [8, 19], [8, 21], [9, ... | undirected | none | {"Specialist_B": "0", "Worker_1": "1", "Designer_A": "2", "Consultant_1": "3", "Analyst_1": "4", "Analyst_2": "5", "Staff_Alpha": "6", "Engineer_Y": "7", "Worker_3": "8", "Staff_Gamma": "9", "Consultant_2": "10", "Specialist_A": "11", "Employee_A": "12", "Role_1": "13", "Program_2": "14", "Mission_A": "15", "Activity_A... | none | node_list |
real_erdos | bipartite_matching | job_assignment | For workforce allocation, we have workers Staff_Beta, Staff_Alpha, Manager_2, Designer_B, Employee_B, Designer_A, Developer_2 and tasks Campaign_B, Job_Y, Position_B, Initiative_2, Mission_A, Job_X, Activity_A, Project_Beta, Assignment_B, Mission_B, Position_A, Operation_2. Capability matrix: Staff_Beta has skills for ... | [["Staff_Beta", "Job_Y"], ["Staff_Alpha", "Campaign_B"], ["Manager_2", "Initiative_2"], ["Designer_B", "Mission_A"], ["Employee_B", "Job_X"], ["Designer_A", "Position_B"], ["Developer_2", "Activity_A"]] | (0, 19) | [[0, 8], [0, 9], [0, 11], [0, 16], [1, 7], [1, 9], [1, 10], [1, 11], [1, 13], [1, 14], [1, 17], [2, 10], [2, 12], [2, 13], [2, 15], [2, 16], [2, 17], [2, 18], [3, 11], [3, 18], [4, 8], [4, 12], [4, 15], [4, 17], [5, 7], [5, 9], [5, 10], [5, 11], [6, 11], [6, 12], [6, 13], [6, 18]] | undirected | none | {"Staff_Beta": "0", "Staff_Alpha": "1", "Manager_2": "2", "Designer_B": "3", "Employee_B": "4", "Designer_A": "5", "Developer_2": "6", "Campaign_B": "7", "Job_Y": "8", "Position_B": "9", "Initiative_2": "10", "Mission_A": "11", "Job_X": "12", "Activity_A": "13", "Project_Beta": "14", "Assignment_B": "15", "Mission_B": ... | none | node_list |
real_erdos | bipartite_matching | job_assignment | In a talent matching system with applicants Specialist_A, Employee_A, Technician_B, Developer_1, Engineer_Y, Staff_Beta, Worker_1, Employee_B, Employee_C and roles Project_Alpha, Initiative_1, Campaign_B, Project_Beta, Task_1, given qualifications Specialist_A can perform Project_Alpha. Specialist_A is qualified for Pr... | [["Specialist_A", "Task_1"], ["Employee_A", "Initiative_1"], ["Technician_B", "Project_Beta"], ["Developer_1", "Project_Alpha"], ["Engineer_Y", "Campaign_B"]] | (0, 14) | [[0, 9], [0, 12], [0, 13], [1, 10], [1, 11], [1, 13], [2, 9], [2, 10], [2, 12], [3, 9], [3, 10], [3, 12], [4, 11], [4, 13], [5, 12], [6, 9], [6, 10], [7, 9], [7, 12], [8, 9], [8, 11]] | undirected | none | {"Specialist_A": "0", "Employee_A": "1", "Technician_B": "2", "Developer_1": "3", "Engineer_Y": "4", "Staff_Beta": "5", "Worker_1": "6", "Employee_B": "7", "Employee_C": "8", "Project_Alpha": "9", "Initiative_1": "10", "Campaign_B": "11", "Project_Beta": "12", "Task_1": "13"} | none | node_list |
real_erdos | bipartite_matching | job_assignment | HR is matching candidates to positions. Candidates: Worker_3, Engineer_Y, Technician_B, Designer_B, Manager_2, Analyst_1, Engineer_X. Open positions: Initiative_1, Activity_B, Task_1, Campaign_A, Role_1, Assignment_A, Project_Gamma, Operation_2, Mission_A, Initiative_2, Assignment_B. Skill compatibilities: Worker_3 is ... | [["Worker_3", "Task_1"], ["Engineer_Y", "Activity_B"], ["Technician_B", "Initiative_1"], ["Designer_B", "Role_1"], ["Manager_2", "Campaign_A"], ["Analyst_1", "Project_Gamma"], ["Engineer_X", "Assignment_A"]] | (0, 18) | [[0, 9], [0, 10], [0, 11], [0, 12], [0, 15], [1, 8], [1, 9], [1, 11], [1, 13], [1, 14], [2, 7], [2, 8], [2, 9], [2, 10], [2, 12], [3, 8], [3, 11], [3, 14], [3, 15], [3, 16], [3, 17], [4, 10], [4, 14], [5, 13], [5, 14], [5, 15], [6, 7], [6, 8], [6, 10], [6, 11], [6, 12], [6, 13], [6, 17]] | undirected | none | {"Worker_3": "0", "Engineer_Y": "1", "Technician_B": "2", "Designer_B": "3", "Manager_2": "4", "Analyst_1": "5", "Engineer_X": "6", "Initiative_1": "7", "Activity_B": "8", "Task_1": "9", "Campaign_A": "10", "Role_1": "11", "Assignment_A": "12", "Project_Gamma": "13", "Operation_2": "14", "Mission_A": "15", "Initiative_... | none | node_list |
real_erdos | bipartite_matching | job_assignment | In a talent matching system with applicants Consultant_1, Manager_1, Worker_2, Analyst_2, Employee_C, Staff_Beta, Staff_Gamma, Expert_1, Designer_A, Developer_2, Manager_2, Worker_1, Technician_B, Technician_A and roles Activity_A, Project_Gamma, Activity_B, Task_2, Role_2, Task_3, Job_Y, given qualifications Consultan... | [["Consultant_1", "Project_Gamma"], ["Manager_1", "Activity_A"], ["Worker_2", "Task_3"], ["Analyst_2", "Activity_B"], ["Employee_C", "Job_Y"], ["Staff_Beta", "Task_2"], ["Developer_2", "Role_2"]] | (0, 21) | [[0, 15], [0, 17], [0, 18], [0, 20], [1, 14], [1, 17], [1, 18], [1, 19], [2, 15], [2, 19], [3, 16], [3, 17], [3, 19], [4, 19], [4, 20], [5, 17], [5, 18], [6, 19], [7, 17], [7, 19], [8, 19], [8, 20], [9, 16], [9, 17], [9, 18], [10, 14], [11, 16], [11, 17], [12, 16], [12, 17], [13, 15], [13, 20]] | undirected | none | {"Consultant_1": "0", "Manager_1": "1", "Worker_2": "2", "Analyst_2": "3", "Employee_C": "4", "Staff_Beta": "5", "Staff_Gamma": "6", "Expert_1": "7", "Designer_A": "8", "Developer_2": "9", "Manager_2": "10", "Worker_1": "11", "Technician_B": "12", "Technician_A": "13", "Activity_A": "14", "Project_Gamma": "15", "Activi... | none | node_list |
real_erdos | bipartite_matching | job_assignment | A company needs to assign employees to projects. Employees: Specialist_B, Staff_Beta, Consultant_2, Staff_Gamma, Engineer_X, Employee_A, Analyst_1, Manager_2, Staff_Alpha, Employee_C, Manager_1. Projects: Assignment_B, Task_2, Campaign_A, Project_Beta, Role_2, Project_Alpha, Position_B, Campaign_B, Assignment_A, Missio... | [["Specialist_B", "Assignment_B"], ["Staff_Beta", "Campaign_A"], ["Consultant_2", "Task_2"], ["Staff_Gamma", "Role_2"], ["Engineer_X", "Project_Alpha"], ["Employee_A", "Assignment_A"], ["Analyst_1", "Project_Beta"], ["Manager_2", "Position_B"], ["Staff_Alpha", "Campaign_B"], ["Employee_C", "Mission_A"], ["Manager_1", "... | (0, 25) | [[0, 11], [0, 12], [0, 16], [0, 17], [0, 19], [0, 22], [1, 13], [1, 14], [1, 18], [1, 21], [2, 12], [2, 14], [2, 18], [2, 21], [2, 23], [3, 11], [3, 12], [3, 15], [3, 16], [3, 17], [3, 20], [3, 21], [3, 24], [4, 12], [4, 13], [4, 15], [4, 16], [4, 20], [4, 21], [4, 22], [4, 23], [4, 24], [5, 16], [5, 19], [5, 20], [5, ... | undirected | none | {"Specialist_B": "0", "Staff_Beta": "1", "Consultant_2": "2", "Staff_Gamma": "3", "Engineer_X": "4", "Employee_A": "5", "Analyst_1": "6", "Manager_2": "7", "Staff_Alpha": "8", "Employee_C": "9", "Manager_1": "10", "Assignment_B": "11", "Task_2": "12", "Campaign_A": "13", "Project_Beta": "14", "Role_2": "15", "Project_A... | none | node_list |
real_erdos | bipartite_matching | job_assignment | A company needs to assign employees to projects. Employees: Designer_A, Engineer_X, Employee_B, Employee_A, Employee_C, Technician_A, Staff_Alpha, Worker_3, Engineer_Y, Consultant_2, Consultant_1. Projects: Campaign_A, Project_Gamma, Role_2, Project_Beta, Activity_A, Assignment_B. Qualification matches: Designer_A matc... | [["Designer_A", "Project_Gamma"], ["Engineer_X", "Project_Beta"], ["Employee_A", "Activity_A"], ["Employee_C", "Role_2"], ["Technician_A", "Assignment_B"], ["Worker_3", "Campaign_A"]] | (0, 17) | [[0, 12], [0, 13], [0, 16], [1, 14], [2, 12], [3, 11], [3, 13], [3, 15], [3, 16], [4, 11], [4, 13], [4, 16], [5, 16], [6, 14], [7, 11], [7, 12], [7, 13], [7, 16], [8, 12], [8, 14], [9, 16], [10, 14]] | undirected | none | {"Designer_A": "0", "Engineer_X": "1", "Employee_B": "2", "Employee_A": "3", "Employee_C": "4", "Technician_A": "5", "Staff_Alpha": "6", "Worker_3": "7", "Engineer_Y": "8", "Consultant_2": "9", "Consultant_1": "10", "Campaign_A": "11", "Project_Gamma": "12", "Role_2": "13", "Project_Beta": "14", "Activity_A": "15", "As... | none | node_list |
real_erdos | bipartite_matching | job_assignment | A company needs to assign employees to projects. Employees: Employee_C, Manager_2, Consultant_2, Worker_1, Analyst_2, Consultant_1, Employee_A, Designer_A, Specialist_B, Specialist_A, Technician_A, Worker_3. Projects: Project_Beta, Mission_B, Operation_2, Campaign_A, Program_1, Job_Y, Operation_1, Position_A. Qualifica... | [["Employee_C", "Project_Beta"], ["Manager_2", "Operation_2"], ["Consultant_2", "Campaign_A"], ["Worker_1", "Program_1"], ["Analyst_2", "Mission_B"], ["Consultant_1", "Job_Y"], ["Employee_A", "Operation_1"], ["Specialist_A", "Position_A"]] | (0, 20) | [[0, 12], [0, 14], [0, 18], [1, 14], [1, 16], [1, 19], [2, 15], [2, 17], [2, 18], [2, 19], [3, 16], [3, 17], [4, 12], [4, 13], [4, 15], [4, 18], [5, 12], [5, 13], [5, 16], [5, 17], [5, 18], [5, 19], [6, 14], [6, 16], [6, 17], [6, 18], [7, 13], [7, 14], [7, 15], [7, 16], [7, 17], [8, 14], [8, 17], [9, 16], [9, 17], [9, ... | undirected | none | {"Employee_C": "0", "Manager_2": "1", "Consultant_2": "2", "Worker_1": "3", "Analyst_2": "4", "Consultant_1": "5", "Employee_A": "6", "Designer_A": "7", "Specialist_B": "8", "Specialist_A": "9", "Technician_A": "10", "Worker_3": "11", "Project_Beta": "12", "Mission_B": "13", "Operation_2": "14", "Campaign_A": "15", "Pr... | none | node_list |
real_erdos | bipartite_matching | job_assignment | A company needs to assign employees to projects. Employees: Technician_B, Developer_2, Manager_1, Analyst_2, Expert_1, Designer_B, Consultant_2, Worker_2, Developer_1, Technician_A, Employee_C, Specialist_B, Staff_Beta, Engineer_Y, Employee_B. Projects: Position_B, Position_A, Activity_B, Job_Y, Task_3, Project_Alpha, ... | [["Technician_B", "Position_B"], ["Developer_2", "Project_Gamma"], ["Manager_1", "Position_A"], ["Analyst_2", "Job_X"], ["Expert_1", "Campaign_B"], ["Designer_B", "Project_Alpha"], ["Consultant_2", "Assignment_B"], ["Worker_2", "Job_Y"], ["Developer_1", "Operation_1"], ["Technician_A", "Role_2"], ["Employee_C", "Assign... | (0, 30) | [[0, 15], [0, 19], [0, 23], [0, 24], [0, 25], [1, 19], [1, 21], [1, 25], [2, 15], [2, 16], [2, 19], [2, 20], [2, 23], [2, 24], [3, 15], [3, 17], [3, 18], [3, 21], [3, 25], [3, 26], [3, 27], [3, 28], [3, 29], [4, 16], [4, 17], [4, 21], [4, 22], [4, 23], [4, 24], [4, 25], [4, 26], [4, 27], [5, 15], [5, 17], [5, 20], [5, ... | undirected | none | {"Technician_B": "0", "Developer_2": "1", "Manager_1": "2", "Analyst_2": "3", "Expert_1": "4", "Designer_B": "5", "Consultant_2": "6", "Worker_2": "7", "Developer_1": "8", "Technician_A": "9", "Employee_C": "10", "Specialist_B": "11", "Staff_Beta": "12", "Engineer_Y": "13", "Employee_B": "14", "Position_B": "15", "Posi... | none | node_list |
real_erdos | bipartite_matching | job_assignment | A company needs to assign employees to projects. Employees: Analyst_1, Developer_2, Designer_A, Specialist_B, Technician_B, Developer_1, Analyst_2, Technician_A, Designer_B, Staff_Beta, Staff_Alpha, Engineer_X. Projects: Project_Gamma, Program_2, Assignment_A, Mission_A, Campaign_A, Task_2, Operation_1, Project_Alpha, ... | [["Analyst_1", "Mission_B"], ["Developer_2", "Campaign_A"], ["Designer_A", "Assignment_A"], ["Specialist_B", "Operation_1"], ["Technician_B", "Program_2"], ["Developer_1", "Mission_A"], ["Technician_A", "Task_2"], ["Designer_B", "Project_Alpha"], ["Staff_Beta", "Task_1"], ["Engineer_X", "Project_Gamma"]] | (0, 22) | [[0, 12], [0, 13], [0, 16], [0, 19], [0, 21], [1, 16], [1, 20], [2, 12], [2, 14], [2, 15], [2, 19], [3, 18], [3, 20], [4, 12], [4, 13], [5, 12], [5, 15], [5, 16], [5, 18], [6, 13], [6, 14], [6, 15], [7, 12], [7, 16], [7, 17], [7, 18], [7, 20], [8, 12], [8, 15], [8, 16], [8, 17], [8, 19], [9, 15], [9, 17], [9, 18], [9, ... | undirected | none | {"Analyst_1": "0", "Developer_2": "1", "Designer_A": "2", "Specialist_B": "3", "Technician_B": "4", "Developer_1": "5", "Analyst_2": "6", "Technician_A": "7", "Designer_B": "8", "Staff_Beta": "9", "Staff_Alpha": "10", "Engineer_X": "11", "Project_Gamma": "12", "Program_2": "13", "Assignment_A": "14", "Mission_A": "15",... | none | node_list |
real_erdos | bipartite_matching | job_assignment | HR is matching candidates to positions. Candidates: Employee_A, Employee_B, Employee_C, Engineer_Y, Consultant_2, Designer_A, Staff_Alpha, Specialist_A. Open positions: Activity_A, Project_Alpha, Task_3, Initiative_2, Position_A, Assignment_A, Initiative_1, Campaign_B, Mission_A, Campaign_A, Operation_2, Task_2. Skill ... | [["Employee_A", "Activity_A"], ["Employee_B", "Initiative_2"], ["Employee_C", "Project_Alpha"], ["Engineer_Y", "Task_3"], ["Consultant_2", "Position_A"], ["Designer_A", "Assignment_A"], ["Staff_Alpha", "Campaign_B"], ["Specialist_A", "Mission_A"]] | (0, 20) | [[0, 8], [0, 13], [0, 14], [0, 17], [0, 19], [1, 8], [1, 11], [1, 14], [1, 16], [1, 19], [2, 9], [2, 10], [2, 11], [3, 10], [3, 14], [3, 15], [3, 16], [3, 17], [3, 18], [3, 19], [4, 8], [4, 10], [4, 11], [4, 12], [4, 15], [4, 19], [5, 9], [5, 10], [5, 11], [5, 12], [5, 13], [5, 14], [5, 15], [5, 16], [6, 8], [6, 9], [6... | undirected | none | {"Employee_A": "0", "Employee_B": "1", "Employee_C": "2", "Engineer_Y": "3", "Consultant_2": "4", "Designer_A": "5", "Staff_Alpha": "6", "Specialist_A": "7", "Activity_A": "8", "Project_Alpha": "9", "Task_3": "10", "Initiative_2": "11", "Position_A": "12", "Assignment_A": "13", "Initiative_1": "14", "Campaign_B": "15",... | none | node_list |
real_erdos | bipartite_matching | job_assignment | For workforce allocation, we have workers Technician_A, Specialist_B, Engineer_Y, Consultant_1, Employee_A, Staff_Alpha, Analyst_2, Developer_1, Worker_2, Expert_1, Analyst_1, Worker_3, Manager_1, Staff_Gamma and tasks Operation_1, Project_Gamma, Campaign_B, Program_2, Activity_B, Position_A, Program_1, Task_2, Initiat... | [["Technician_A", "Project_Gamma"], ["Specialist_B", "Campaign_B"], ["Engineer_Y", "Operation_1"], ["Consultant_1", "Position_A"], ["Employee_A", "Project_Beta"], ["Staff_Alpha", "Program_1"], ["Analyst_2", "Task_2"], ["Developer_1", "Operation_2"], ["Expert_1", "Activity_B"], ["Analyst_1", "Program_2"], ["Manager_1", ... | (0, 25) | [[0, 15], [0, 17], [0, 18], [0, 21], [0, 22], [0, 23], [1, 16], [1, 22], [1, 24], [2, 14], [2, 16], [2, 17], [2, 21], [3, 15], [3, 16], [3, 19], [3, 24], [4, 15], [4, 23], [4, 24], [5, 19], [5, 20], [5, 21], [5, 22], [5, 24], [6, 14], [6, 15], [6, 16], [6, 19], [6, 21], [6, 22], [6, 23], [6, 24], [7, 14], [7, 16], [7, ... | undirected | none | {"Technician_A": "0", "Specialist_B": "1", "Engineer_Y": "2", "Consultant_1": "3", "Employee_A": "4", "Staff_Alpha": "5", "Analyst_2": "6", "Developer_1": "7", "Worker_2": "8", "Expert_1": "9", "Analyst_1": "10", "Worker_3": "11", "Manager_1": "12", "Staff_Gamma": "13", "Operation_1": "14", "Project_Gamma": "15", "Camp... | none | node_list |
real_erdos | bipartite_matching | job_assignment | For workforce allocation, we have workers Consultant_1, Specialist_A, Staff_Alpha, Employee_C, Specialist_B, Technician_A, Designer_B, Engineer_Y, Manager_2, Analyst_2, Worker_2, Manager_1, Consultant_2 and tasks Activity_B, Job_Y, Mission_A, Job_X, Activity_A, Position_A, Operation_1, Task_1, Initiative_1, Project_Gam... | [["Consultant_1", "Mission_A"], ["Specialist_A", "Initiative_1"], ["Staff_Alpha", "Job_Y"], ["Employee_C", "Task_1"], ["Specialist_B", "Activity_A"], ["Technician_A", "Position_A"], ["Designer_B", "Job_X"], ["Engineer_Y", "Project_Gamma"], ["Manager_2", "Role_2"], ["Analyst_2", "Program_2"], ["Worker_2", "Task_3"], ["M... | (0, 27) | [[0, 15], [0, 17], [0, 19], [0, 22], [0, 24], [0, 25], [0, 26], [1, 13], [1, 15], [1, 16], [1, 20], [1, 21], [1, 23], [1, 24], [1, 25], [1, 26], [2, 13], [2, 14], [2, 15], [2, 17], [2, 19], [2, 21], [2, 24], [3, 13], [3, 20], [3, 22], [4, 13], [4, 14], [4, 15], [4, 17], [4, 21], [4, 23], [5, 17], [5, 18], [5, 21], [6, ... | undirected | none | {"Consultant_1": "0", "Specialist_A": "1", "Staff_Alpha": "2", "Employee_C": "3", "Specialist_B": "4", "Technician_A": "5", "Designer_B": "6", "Engineer_Y": "7", "Manager_2": "8", "Analyst_2": "9", "Worker_2": "10", "Manager_1": "11", "Consultant_2": "12", "Activity_B": "13", "Job_Y": "14", "Mission_A": "15", "Job_X": ... | none | node_list |
real_erdos | bipartite_matching | job_assignment | In a talent matching system with applicants Employee_C, Designer_B, Manager_1, Employee_A, Expert_1, Consultant_2, Staff_Gamma and roles Mission_A, Position_A, Program_2, Task_2, Mission_B, Job_X, Activity_B, Activity_A, Assignment_A, Role_1, Program_1, given qualifications Employee_C can perform Mission_A. Employee_C ... | [["Employee_C", "Mission_A"], ["Designer_B", "Program_2"], ["Manager_1", "Role_1"], ["Employee_A", "Activity_A"], ["Expert_1", "Position_A"], ["Consultant_2", "Task_2"], ["Staff_Gamma", "Mission_B"]] | (0, 18) | [[0, 7], [0, 13], [0, 15], [1, 9], [1, 14], [2, 9], [2, 16], [3, 7], [3, 14], [3, 16], [3, 17], [4, 8], [4, 10], [4, 16], [4, 17], [5, 8], [5, 10], [5, 12], [5, 13], [5, 15], [6, 7], [6, 8], [6, 11], [6, 12], [6, 13], [6, 15]] | undirected | none | {"Employee_C": "0", "Designer_B": "1", "Manager_1": "2", "Employee_A": "3", "Expert_1": "4", "Consultant_2": "5", "Staff_Gamma": "6", "Mission_A": "7", "Position_A": "8", "Program_2": "9", "Task_2": "10", "Mission_B": "11", "Job_X": "12", "Activity_B": "13", "Activity_A": "14", "Assignment_A": "15", "Role_1": "16", "Pr... | none | node_list |
real_erdos | bipartite_matching | job_assignment | For workforce allocation, we have workers Analyst_2, Employee_C, Manager_1, Consultant_2, Designer_B, Technician_A, Expert_1, Worker_2, Consultant_1, Employee_A, Engineer_X, Employee_B, Specialist_B, Analyst_1, Engineer_Y and tasks Project_Beta, Campaign_B, Job_Y, Task_1, Position_B, Operation_2, Activity_A, Operation_... | [["Analyst_2", "Campaign_B"], ["Employee_C", "Job_Y"], ["Manager_1", "Position_B"], ["Consultant_2", "Activity_B"], ["Technician_A", "Program_1"], ["Expert_1", "Project_Beta"], ["Worker_2", "Operation_2"], ["Consultant_1", "Operation_1"], ["Employee_A", "Activity_A"], ["Engineer_X", "Job_X"], ["Employee_B", "Campaign_A... | (0, 27) | [[0, 16], [0, 18], [0, 25], [1, 17], [1, 18], [1, 21], [1, 25], [1, 26], [2, 17], [2, 19], [2, 21], [2, 24], [2, 25], [3, 18], [3, 19], [3, 26], [4, 19], [5, 18], [5, 19], [5, 25], [5, 26], [6, 15], [6, 17], [6, 20], [6, 23], [7, 15], [7, 16], [7, 20], [7, 21], [7, 23], [7, 24], [8, 15], [8, 18], [8, 22], [8, 24], [9, ... | undirected | none | {"Analyst_2": "0", "Employee_C": "1", "Manager_1": "2", "Consultant_2": "3", "Designer_B": "4", "Technician_A": "5", "Expert_1": "6", "Worker_2": "7", "Consultant_1": "8", "Employee_A": "9", "Engineer_X": "10", "Employee_B": "11", "Specialist_B": "12", "Analyst_1": "13", "Engineer_Y": "14", "Project_Beta": "15", "Campa... | none | node_list |
real_erdos | bipartite_matching | job_assignment | In a talent matching system with applicants Designer_A, Consultant_2, Technician_B, Developer_1, Engineer_X, Analyst_2, Analyst_1, Manager_2, Staff_Beta, Staff_Gamma, Employee_C, Expert_1 and roles Initiative_2, Task_3, Project_Alpha, Role_1, Mission_B, Task_1, Activity_A, Campaign_A, Project_Gamma, Activity_B, Program... | [["Designer_A", "Initiative_2"], ["Consultant_2", "Role_1"], ["Technician_B", "Project_Alpha"], ["Developer_1", "Assignment_B"], ["Engineer_X", "Campaign_A"], ["Analyst_2", "Activity_A"], ["Analyst_1", "Task_1"], ["Manager_2", "Project_Gamma"], ["Staff_Beta", "Program_1"], ["Staff_Gamma", "Mission_B"], ["Employee_C", "... | (0, 24) | [[0, 12], [0, 16], [0, 22], [0, 23], [1, 12], [1, 15], [1, 19], [1, 22], [2, 14], [2, 15], [2, 18], [2, 19], [2, 23], [3, 12], [3, 13], [3, 16], [3, 23], [4, 14], [4, 19], [4, 23], [5, 14], [5, 18], [5, 20], [5, 21], [5, 22], [6, 14], [6, 15], [6, 17], [6, 18], [6, 19], [7, 14], [7, 15], [7, 19], [7, 20], [7, 22], [7, ... | undirected | none | {"Designer_A": "0", "Consultant_2": "1", "Technician_B": "2", "Developer_1": "3", "Engineer_X": "4", "Analyst_2": "5", "Analyst_1": "6", "Manager_2": "7", "Staff_Beta": "8", "Staff_Gamma": "9", "Employee_C": "10", "Expert_1": "11", "Initiative_2": "12", "Task_3": "13", "Project_Alpha": "14", "Role_1": "15", "Mission_B"... | none | node_list |
real_erdos | bipartite_matching | job_assignment | For workforce allocation, we have workers Employee_B, Staff_Beta, Employee_C, Staff_Gamma, Analyst_1, Manager_1, Developer_1 and tasks Activity_A, Task_3, Mission_B, Campaign_A, Position_B, Operation_2, Project_Alpha, Campaign_B, Position_A, Assignment_A, Project_Beta, Program_1. Capability matrix: Employee_B matches t... | [["Employee_B", "Mission_B"], ["Staff_Beta", "Activity_A"], ["Employee_C", "Position_B"], ["Staff_Gamma", "Task_3"], ["Analyst_1", "Campaign_A"], ["Manager_1", "Assignment_A"], ["Developer_1", "Operation_2"]] | (0, 19) | [[0, 9], [0, 10], [0, 11], [0, 14], [0, 17], [1, 7], [1, 9], [1, 12], [1, 14], [1, 15], [1, 16], [2, 7], [2, 11], [2, 13], [2, 14], [2, 17], [3, 8], [3, 9], [3, 10], [3, 12], [3, 13], [3, 18], [4, 7], [4, 8], [4, 10], [4, 11], [4, 14], [5, 7], [5, 8], [5, 9], [5, 10], [5, 16], [5, 18], [6, 8], [6, 9], [6, 10], [6, 11],... | undirected | none | {"Employee_B": "0", "Staff_Beta": "1", "Employee_C": "2", "Staff_Gamma": "3", "Analyst_1": "4", "Manager_1": "5", "Developer_1": "6", "Activity_A": "7", "Task_3": "8", "Mission_B": "9", "Campaign_A": "10", "Position_B": "11", "Operation_2": "12", "Project_Alpha": "13", "Campaign_B": "14", "Position_A": "15", "Assignmen... | none | node_list |
real_erdos | bipartite_matching | resource_allocation | In a data center with servers Resource_X, Machine_B, VM_2, Node_Alpha, Compute_Unit_2, Processor_B, Pod_1, Container_B, Server_C, Server_B, Pod_2 and workloads Service_1, Process_1, Workload_A, Pipeline_A, Job_Alpha, Stream_1, Request_2, Query_2, Task_X, Batch_A, Application_A, Query_1, Batch_B, given resource requirem... | [["Resource_X", "Workload_A"], ["Machine_B", "Stream_1"], ["VM_2", "Process_1"], ["Node_Alpha", "Batch_B"], ["Compute_Unit_2", "Job_Alpha"], ["Processor_B", "Query_1"], ["Pod_1", "Service_1"], ["Container_B", "Batch_A"], ["Server_C", "Pipeline_A"], ["Server_B", "Task_X"], ["Pod_2", "Request_2"]] | (0, 24) | [[0, 13], [0, 16], [0, 17], [0, 19], [0, 22], [1, 13], [1, 16], [1, 17], [1, 18], [2, 12], [2, 13], [2, 17], [2, 18], [2, 19], [2, 21], [3, 13], [3, 23], [4, 12], [4, 15], [4, 19], [4, 23], [5, 11], [5, 13], [5, 22], [6, 11], [6, 12], [6, 13], [6, 16], [6, 23], [7, 20], [7, 21], [8, 11], [8, 14], [8, 18], [8, 19], [9, ... | undirected | none | {"Resource_X": "0", "Machine_B": "1", "VM_2": "2", "Node_Alpha": "3", "Compute_Unit_2": "4", "Processor_B": "5", "Pod_1": "6", "Container_B": "7", "Server_C": "8", "Server_B": "9", "Pod_2": "10", "Service_1": "11", "Process_1": "12", "Workload_A": "13", "Pipeline_A": "14", "Job_Alpha": "15", "Stream_1": "16", "Request_... | none | node_list |
real_erdos | bipartite_matching | resource_allocation | A cloud platform needs to allocate VMs to requests. VMs: VM_2, Container_B, Machine_A, Core_2, Processor_A, Server_C. Client requests: Request_1, Batch_B, Service_1, Pipeline_A, Application_A, Service_2, Request_2. Compatibility constraints: VM_2 is assigned to Request_1. VM_2 is assigned to Service_1. VM_2 can manage ... | [["VM_2", "Request_1"], ["Container_B", "Service_2"], ["Machine_A", "Pipeline_A"], ["Core_2", "Application_A"], ["Processor_A", "Batch_B"], ["Server_C", "Request_2"]] | (0, 13) | [[0, 6], [0, 8], [0, 9], [0, 10], [0, 11], [0, 12], [1, 6], [1, 11], [1, 12], [2, 9], [2, 10], [3, 6], [3, 7], [3, 10], [4, 7], [4, 9], [5, 6], [5, 7], [5, 12]] | undirected | none | {"VM_2": "0", "Container_B": "1", "Machine_A": "2", "Core_2": "3", "Processor_A": "4", "Server_C": "5", "Request_1": "6", "Batch_B": "7", "Service_1": "8", "Pipeline_A": "9", "Application_A": "10", "Service_2": "11", "Request_2": "12"} | none | node_list |
real_erdos | bipartite_matching | resource_allocation | Given computing nodes Instance_2, Compute_Unit_2, Server_A, Pod_1, Pod_2, Compute_Unit_1, VM_2, Resource_Y, Resource_X, Server_B, Instance_1, Node_Gamma, Node_Alpha, Server_C and jobs Pipeline_A, Query_2, Batch_A, Service_1, Workload_B with constraints Instance_2 is capable of processing Pipeline_A. Instance_2 is assig... | [["Instance_2", "Pipeline_A"], ["Server_A", "Query_2"], ["Pod_1", "Service_1"], ["Compute_Unit_1", "Batch_A"], ["Server_B", "Workload_B"]] | (0, 19) | [[0, 14], [0, 17], [1, 14], [2, 15], [2, 17], [2, 18], [3, 17], [4, 15], [4, 17], [5, 14], [5, 16], [6, 16], [7, 14], [7, 15], [7, 16], [7, 17], [8, 14], [9, 17], [9, 18], [10, 14], [10, 17], [11, 16], [11, 17], [12, 15], [12, 18], [13, 14], [13, 16], [13, 17]] | undirected | none | {"Instance_2": "0", "Compute_Unit_2": "1", "Server_A": "2", "Pod_1": "3", "Pod_2": "4", "Compute_Unit_1": "5", "VM_2": "6", "Resource_Y": "7", "Resource_X": "8", "Server_B": "9", "Instance_1": "10", "Node_Gamma": "11", "Node_Alpha": "12", "Server_C": "13", "Pipeline_A": "14", "Query_2": "15", "Batch_A": "16", "Service_... | none | node_list |
real_erdos | bipartite_matching | resource_allocation | A cloud platform needs to allocate VMs to requests. VMs: Resource_Y, Pod_2, Pod_1, Resource_X, Core_1, Server_A, Node_Alpha, Node_Gamma, Machine_B, Compute_Unit_2, Container_B, Server_B, Core_2, VM_2. Client requests: Function_A, Process_1, Batch_B, Query_1, Request_2, Request_3, Stream_2, Task_Y. Compatibility constra... | [["Resource_Y", "Process_1"], ["Pod_2", "Query_1"], ["Pod_1", "Batch_B"], ["Resource_X", "Request_2"], ["Core_1", "Function_A"], ["Server_A", "Stream_2"], ["Node_Alpha", "Request_3"], ["Compute_Unit_2", "Task_Y"]] | (0, 22) | [[0, 15], [0, 16], [0, 17], [0, 21], [1, 15], [1, 17], [1, 18], [1, 19], [1, 20], [1, 21], [2, 15], [2, 16], [2, 18], [2, 19], [2, 20], [2, 21], [3, 18], [3, 19], [3, 20], [4, 14], [4, 15], [4, 16], [4, 20], [4, 21], [5, 14], [5, 16], [5, 17], [5, 20], [5, 21], [6, 15], [6, 16], [6, 17], [6, 18], [6, 19], [6, 20], [7, ... | undirected | none | {"Resource_Y": "0", "Pod_2": "1", "Pod_1": "2", "Resource_X": "3", "Core_1": "4", "Server_A": "5", "Node_Alpha": "6", "Node_Gamma": "7", "Machine_B": "8", "Compute_Unit_2": "9", "Container_B": "10", "Server_B": "11", "Core_2": "12", "VM_2": "13", "Function_A": "14", "Process_1": "15", "Batch_B": "16", "Query_1": "17", ... | none | node_list |
real_erdos | bipartite_matching | resource_allocation | Given computing nodes Instance_1, Processor_A, Machine_B, Resource_X, Pod_1, Server_B, VM_1, Resource_Y, Node_Gamma, Server_A and jobs Batch_A, Function_B, Query_1, Function_A, Task_Y, Query_2, Request_2, Application_B, Application_A, Service_1, Process_2, Process_1, Stream_1, Job_Alpha, Task_X with constraints Instanc... | [["Instance_1", "Function_A"], ["Processor_A", "Batch_A"], ["Machine_B", "Query_1"], ["Resource_X", "Task_Y"], ["Pod_1", "Function_B"], ["Server_B", "Request_2"], ["VM_1", "Application_A"], ["Resource_Y", "Service_1"], ["Node_Gamma", "Process_2"], ["Server_A", "Process_1"]] | (0, 25) | [[0, 13], [0, 14], [0, 15], [0, 19], [0, 20], [0, 22], [0, 24], [1, 10], [1, 11], [1, 12], [1, 17], [1, 19], [1, 20], [2, 10], [2, 12], [2, 13], [2, 15], [2, 17], [2, 18], [2, 21], [2, 24], [3, 14], [3, 15], [3, 16], [3, 17], [3, 19], [3, 24], [4, 11], [4, 12], [4, 14], [4, 15], [4, 19], [4, 22], [5, 14], [5, 16], [5, ... | undirected | none | {"Instance_1": "0", "Processor_A": "1", "Machine_B": "2", "Resource_X": "3", "Pod_1": "4", "Server_B": "5", "VM_1": "6", "Resource_Y": "7", "Node_Gamma": "8", "Server_A": "9", "Batch_A": "10", "Function_B": "11", "Query_1": "12", "Function_A": "13", "Task_Y": "14", "Query_2": "15", "Request_2": "16", "Application_B": "... | none | node_list |
real_erdos | bipartite_matching | resource_allocation | Given computing nodes Resource_X, Server_A, Container_B, Node_Beta, Server_B, Instance_2, VM_3, VM_1, Processor_B, Pod_2, VM_2, Node_Alpha and jobs Task_X, Stream_1, Process_1, Function_B, Request_2, Pipeline_B, Stream_2, Process_2, Request_1, Batch_A, Service_2, Application_B, Task_Y with constraints Resource_X has ca... | [["Resource_X", "Task_X"], ["Server_A", "Process_1"], ["Container_B", "Stream_1"], ["Node_Beta", "Function_B"], ["Server_B", "Request_2"], ["Instance_2", "Pipeline_B"], ["VM_3", "Stream_2"], ["VM_1", "Request_1"], ["Processor_B", "Batch_A"], ["Pod_2", "Application_B"], ["VM_2", "Process_2"], ["Node_Alpha", "Service_2"]... | (0, 25) | [[0, 12], [0, 13], [0, 14], [0, 15], [0, 20], [0, 22], [0, 24], [1, 14], [1, 16], [1, 17], [1, 18], [1, 19], [1, 20], [1, 21], [1, 22], [1, 24], [2, 13], [2, 16], [2, 18], [2, 21], [2, 22], [3, 12], [3, 15], [3, 20], [3, 23], [4, 12], [4, 13], [4, 16], [4, 21], [4, 22], [4, 24], [5, 12], [5, 14], [5, 15], [5, 16], [5, ... | undirected | none | {"Resource_X": "0", "Server_A": "1", "Container_B": "2", "Node_Beta": "3", "Server_B": "4", "Instance_2": "5", "VM_3": "6", "VM_1": "7", "Processor_B": "8", "Pod_2": "9", "VM_2": "10", "Node_Alpha": "11", "Task_X": "12", "Stream_1": "13", "Process_1": "14", "Function_B": "15", "Request_2": "16", "Pipeline_B": "17", "St... | none | node_list |
real_erdos | bipartite_matching | resource_allocation | Given computing nodes Container_B, Machine_A, Server_A, Server_B, Machine_B, Node_Alpha, Pod_1, Node_Beta, VM_3, Container_A, Core_2, Node_Gamma, VM_1 and jobs Stream_1, Request_2, Service_1, Function_A, Application_B, Task_X, Query_1, Service_2 with constraints Container_B is assigned to Request_2. Container_B has cap... | [["Container_B", "Request_2"], ["Machine_A", "Stream_1"], ["Server_A", "Application_B"], ["Server_B", "Service_1"], ["Node_Alpha", "Task_X"], ["Pod_1", "Query_1"], ["VM_3", "Function_A"], ["Container_A", "Service_2"]] | (0, 21) | [[0, 14], [0, 15], [0, 17], [0, 18], [0, 19], [1, 13], [1, 15], [1, 17], [1, 20], [2, 13], [2, 14], [2, 17], [2, 18], [2, 20], [3, 13], [3, 14], [3, 15], [3, 17], [3, 19], [4, 13], [4, 14], [4, 15], [4, 17], [5, 14], [5, 17], [5, 18], [6, 13], [6, 14], [6, 15], [6, 18], [6, 19], [6, 20], [7, 14], [7, 18], [7, 19], [8, ... | undirected | none | {"Container_B": "0", "Machine_A": "1", "Server_A": "2", "Server_B": "3", "Machine_B": "4", "Node_Alpha": "5", "Pod_1": "6", "Node_Beta": "7", "VM_3": "8", "Container_A": "9", "Core_2": "10", "Node_Gamma": "11", "VM_1": "12", "Stream_1": "13", "Request_2": "14", "Service_1": "15", "Function_A": "16", "Application_B": "1... | none | node_list |
real_erdos | bipartite_matching | resource_allocation | In a data center with servers Node_Beta, Pod_1, VM_2, VM_1, Instance_2, Machine_A, VM_3, Compute_Unit_2, Processor_B and workloads Request_1, Service_1, Task_Y, Batch_B, Job_Beta, Function_A, Task_X, Workload_B, Request_3, Service_2, Application_A, given resource requirements Node_Beta is assigned to Request_1. Node_Be... | [["Node_Beta", "Request_1"], ["Pod_1", "Task_X"], ["VM_2", "Task_Y"], ["VM_1", "Batch_B"], ["Instance_2", "Service_1"], ["Machine_A", "Function_A"], ["VM_3", "Workload_B"], ["Compute_Unit_2", "Request_3"], ["Processor_B", "Job_Beta"]] | (0, 20) | [[0, 9], [0, 10], [0, 13], [0, 14], [0, 15], [0, 18], [1, 9], [1, 15], [1, 17], [2, 11], [2, 13], [2, 18], [2, 19], [3, 9], [3, 11], [3, 12], [3, 19], [4, 10], [4, 11], [4, 16], [4, 19], [5, 10], [5, 12], [5, 14], [5, 15], [5, 18], [6, 9], [6, 10], [6, 11], [6, 15], [6, 16], [6, 17], [6, 19], [7, 11], [7, 16], [7, 17],... | undirected | none | {"Node_Beta": "0", "Pod_1": "1", "VM_2": "2", "VM_1": "3", "Instance_2": "4", "Machine_A": "5", "VM_3": "6", "Compute_Unit_2": "7", "Processor_B": "8", "Request_1": "9", "Service_1": "10", "Task_Y": "11", "Batch_B": "12", "Job_Beta": "13", "Function_A": "14", "Task_X": "15", "Workload_B": "16", "Request_3": "17", "Serv... | none | node_list |
real_erdos | bipartite_matching | resource_allocation | A cloud platform needs to allocate VMs to requests. VMs: Processor_B, Processor_A, Machine_B, Container_B, VM_3, VM_1, Compute_Unit_1, VM_2, Server_A, Instance_2, Node_Alpha, Server_C, Node_Gamma, Pod_1, Node_Beta. Client requests: Job_Alpha, Process_2, Function_A, Batch_B, Request_3, Batch_A, Service_1, Request_2, Pip... | [["Processor_B", "Function_A"], ["Processor_A", "Job_Alpha"], ["Machine_B", "Batch_B"], ["Container_B", "Process_2"], ["VM_3", "Request_3"], ["VM_1", "Pipeline_B"], ["Compute_Unit_1", "Application_A"], ["VM_2", "Application_B"], ["Server_A", "Service_1"], ["Instance_2", "Query_1"], ["Node_Alpha", "Batch_A"], ["Server_C... | (0, 28) | [[0, 17], [0, 20], [1, 15], [1, 19], [1, 25], [1, 26], [2, 15], [2, 18], [2, 21], [2, 22], [2, 23], [3, 16], [3, 25], [3, 27], [4, 19], [4, 23], [4, 27], [5, 17], [5, 18], [5, 19], [5, 23], [5, 25], [6, 18], [6, 27], [7, 16], [7, 24], [7, 25], [8, 15], [8, 17], [8, 18], [8, 19], [8, 21], [8, 23], [8, 24], [8, 27], [9, ... | undirected | none | {"Processor_B": "0", "Processor_A": "1", "Machine_B": "2", "Container_B": "3", "VM_3": "4", "VM_1": "5", "Compute_Unit_1": "6", "VM_2": "7", "Server_A": "8", "Instance_2": "9", "Node_Alpha": "10", "Server_C": "11", "Node_Gamma": "12", "Pod_1": "13", "Node_Beta": "14", "Job_Alpha": "15", "Process_2": "16", "Function_A":... | none | node_list |
real_erdos | bipartite_matching | resource_allocation | A cloud platform needs to allocate VMs to requests. VMs: VM_2, Compute_Unit_2, Server_B, Node_Alpha, Server_C, Instance_1. Client requests: Job_Beta, Query_1, Application_A, Workload_A, Stream_1, Request_2, Workload_B, Function_B, Pipeline_B. Compatibility constraints: VM_2 can handle Query_1. VM_2 is capable of proces... | [["VM_2", "Query_1"], ["Compute_Unit_2", "Application_A"], ["Server_B", "Job_Beta"], ["Node_Alpha", "Workload_B"], ["Server_C", "Workload_A"], ["Instance_1", "Request_2"]] | (0, 15) | [[0, 7], [0, 10], [0, 11], [1, 8], [1, 10], [1, 11], [1, 12], [2, 6], [2, 7], [2, 14], [3, 8], [3, 12], [4, 6], [4, 7], [4, 9], [4, 12], [4, 13], [4, 14], [5, 6], [5, 7], [5, 8], [5, 11], [5, 12], [5, 13]] | undirected | none | {"VM_2": "0", "Compute_Unit_2": "1", "Server_B": "2", "Node_Alpha": "3", "Server_C": "4", "Instance_1": "5", "Job_Beta": "6", "Query_1": "7", "Application_A": "8", "Workload_A": "9", "Stream_1": "10", "Request_2": "11", "Workload_B": "12", "Function_B": "13", "Pipeline_B": "14"} | none | node_list |
real_erdos | bipartite_matching | resource_allocation | For compute resource distribution, available resources are Node_Beta, Resource_Y, Server_C, Instance_2, Pod_1, VM_2, Processor_A, Core_2 and tasks are Workload_A, Process_2, Task_Y, Process_1, Pipeline_B, Query_2. Requirements: Node_Beta is capable of processing Process_2. Node_Beta can manage Process_1. Resource_Y is ... | [["Node_Beta", "Process_2"], ["Resource_Y", "Workload_A"], ["Server_C", "Pipeline_B"], ["Instance_2", "Task_Y"], ["Pod_1", "Query_2"], ["VM_2", "Process_1"]] | (0, 14) | [[0, 9], [0, 11], [1, 8], [1, 10], [1, 11], [1, 13], [2, 12], [3, 8], [3, 9], [3, 10], [3, 11], [3, 12], [4, 9], [4, 12], [4, 13], [5, 8], [5, 9], [5, 10], [5, 11], [5, 13], [6, 13], [7, 9], [7, 11], [7, 13]] | undirected | none | {"Node_Beta": "0", "Resource_Y": "1", "Server_C": "2", "Instance_2": "3", "Pod_1": "4", "VM_2": "5", "Processor_A": "6", "Core_2": "7", "Workload_A": "8", "Process_2": "9", "Task_Y": "10", "Process_1": "11", "Pipeline_B": "12", "Query_2": "13"} | none | node_list |
real_erdos | bipartite_matching | resource_allocation | Given computing nodes Compute_Unit_1, Container_B, Processor_B, Container_A, Server_A, Resource_X, Processor_A, VM_2, Machine_B, Instance_1, Pod_2, Node_Gamma, Pod_1, VM_3, Node_Beta and jobs Request_3, Stream_2, Function_A, Query_1, Service_1, Pipeline_B, Request_1, Process_2, Task_Y, Application_B, Task_X, Pipeline_A... | [["Compute_Unit_1", "Request_3"], ["Container_B", "Stream_2"], ["Processor_B", "Pipeline_B"], ["Container_A", "Application_B"], ["Server_A", "Request_1"], ["Resource_X", "Function_A"], ["Processor_A", "Query_1"], ["VM_2", "Task_Y"], ["Machine_B", "Service_1"], ["Instance_1", "Process_2"], ["Pod_2", "Task_X"], ["Node_Ga... | (0, 29) | [[0, 15], [0, 17], [0, 19], [0, 21], [0, 22], [0, 23], [0, 24], [0, 25], [0, 26], [0, 27], [0, 28], [1, 16], [1, 17], [1, 19], [1, 24], [1, 25], [1, 28], [2, 16], [2, 20], [2, 21], [2, 22], [2, 23], [2, 26], [2, 27], [3, 16], [3, 24], [3, 26], [3, 28], [4, 16], [4, 20], [4, 21], [4, 22], [4, 23], [4, 26], [4, 27], [5, ... | undirected | none | {"Compute_Unit_1": "0", "Container_B": "1", "Processor_B": "2", "Container_A": "3", "Server_A": "4", "Resource_X": "5", "Processor_A": "6", "VM_2": "7", "Machine_B": "8", "Instance_1": "9", "Pod_2": "10", "Node_Gamma": "11", "Pod_1": "12", "VM_3": "13", "Node_Beta": "14", "Request_3": "15", "Stream_2": "16", "Function_... | none | node_list |
real_erdos | bipartite_matching | resource_allocation | Given computing nodes Resource_X, Resource_Y, Compute_Unit_1, Pod_2, Node_Beta, Instance_1, Machine_B and jobs Service_2, Process_2, Query_1, Request_2, Stream_2 with constraints Resource_X has capacity for Service_2. Resource_X can manage Query_1. Resource_X can handle Request_2. Resource_Y is capable of processing Se... | [["Resource_X", "Service_2"], ["Resource_Y", "Process_2"], ["Compute_Unit_1", "Query_1"], ["Pod_2", "Request_2"], ["Node_Beta", "Stream_2"]] | (0, 12) | [[0, 7], [0, 9], [0, 10], [1, 7], [1, 8], [1, 10], [2, 9], [2, 11], [3, 8], [3, 9], [3, 10], [3, 11], [4, 10], [4, 11], [5, 7], [5, 8], [6, 10]] | undirected | none | {"Resource_X": "0", "Resource_Y": "1", "Compute_Unit_1": "2", "Pod_2": "3", "Node_Beta": "4", "Instance_1": "5", "Machine_B": "6", "Service_2": "7", "Process_2": "8", "Query_1": "9", "Request_2": "10", "Stream_2": "11"} | none | node_list |
End of preview. Expand in Data Studio
README.md exists but content is empty.
- Downloads last month
- 2