id
int64
0
30k
problem
stringclasses
3 values
n_nodes
int64
4
17
topo
stringclasses
5 values
adj
listlengths
4
17
x
listlengths
4
17
gamma
listlengths
1
1
beta
listlengths
1
1
ratio
float64
0.85
1
exact_value
float64
1
72
exact_solution
listlengths
4
17
400
MAX_CLIQUE
17
REG
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[ 3.3034780633 ]
[ 0.5737042167 ]
1
5
[ 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ]
401
MAX_CLIQUE
6
BA
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[ 0.2864406404 ]
[ 2.6863010186 ]
1
2
[ 1, 1, 0, 0, 0, 0 ]
402
MAX_CLIQUE
7
REG
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[ 3.4519750335 ]
[ 0.4691868486 ]
1
3
[ 1, 0, 0, 1, 0, 0, 1 ]
403
MAXCUT
14
WS
[ [ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ], [ 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], ...
[ [ 4, 0.3076923077, 0.5, 0.0961538462, 0.4642857143, 0.0714285714, 0.2672612419, 0, 0.25, 0.09375, 0.140625, 0.09765625, 0.1049804688, 0.08984375, 0.0892944336, 0.0829696655, 0.0813617706, 0.078373909, 0.0770691633, 0.0755353272, 0.0...
[ 2.9051334068 ]
[ 0.3188972102 ]
0.866716
20
[ 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0 ]
404
MAXCUT
5
WS
[ [ 0, 1, 1, 1, 1 ], [ 1, 0, 1, 1, 1 ], [ 1, 1, 0, 1, 1 ], [ 1, 1, 1, 0, 1 ], [ 1, 1, 1, 1, 0 ] ]
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[ 1.7775099444 ]
[ 1.3054592496 ]
0.984202
6
[ 1, 1, 0, 0, 0 ]
405
MAX_CLIQUE
8
LOLLIPOP
[ [ 0, 1, 1, 1, 0, 0, 0, 0 ], [ 1, 0, 1, 1, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 0, 0, 0, 0 ], [ 1, 1, 1, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 1, 0, 0 ]...
[ [ 3, 0.4285714286, 1, 0, 0.4117647059, 0.1283757881, 0.4771763719, 0, 0.3055555556, 0.1851851852, 0.2164351852, 0.195473251, 0.1962502143, 0.1886359739, 0.1862310344, 0.1813519678, 0.1790069222, 0.1752498468, 0.1733265516, 0.1703004328,...
[ 2.8975579619 ]
[ 2.6381159543 ]
1
4
[ 1, 1, 1, 1, 0, 0, 0, 0 ]
406
MAX_CLIQUE
11
WS
[ [ 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1 ], [ 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 1, 1, 0, 0, ...
[ [ 4, 0.4, 0.3333333333, 0.0988888889, 0.625, 0.0921103243, 0.2689860737, 0, 0.2583333333, 0.0833333333, 0.1412708333, 0.0918559028, 0.1082860909, 0.0919800116, 0.0971663357, 0.0915086876, 0.0931993246, 0.0912011963, 0.0917545751, 0.0910...
[ 3.3393729308 ]
[ 0.5288895193 ]
1
3
[ 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]
407
MIS
11
LOLLIPOP
[ [ 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 1, 0, 1, 0, 0, 0, ...
[ [ 4, 0.4, 1, 0, 0.3225806452, 0.0960364197, 0.4386822572, 0, 0.2375, 0.16875, 0.18140625, 0.17296875, 0.1717167969, 0.1682666016, 0.1663813721, 0.1638681152, 0.1621526303, 0.1600798741, 0.158544801, 0.1567606504, 0.1553789619, 0...
[ 3.4541481409 ]
[ 0.449821906 ]
1
4
[ 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0 ]
408
MIS
6
WS
[ [ 0, 1, 0, 1, 1, 1 ], [ 1, 0, 1, 1, 0, 1 ], [ 0, 1, 0, 1, 1, 0 ], [ 1, 1, 1, 0, 1, 1 ], [ 1, 0, 1, 1, 0, 1 ], [ 1, 1, 0, 1, 1, 0 ] ]
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[ 2.865328523 ]
[ 2.6723819451 ]
1
2
[ 1, 0, 1, 0, 0, 0 ]
409
MAXCUT
17
ER
[ [ 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1 ], [ 1, 1, 0, 1, 1, 1, 1, 1, ...
[ [ 6, 0.375, 0.7333333333, 0.0038988095, 0.6153846154, 0.0357075287, 0.1369423998, 0, 0.0826118326, 0.0233501684, 0.0366734659, 0.0305805272, 0.0324749378, 0.0317263896, 0.0319877119, 0.0318887144, 0.0319247753, 0.0319112507, 0.0319162614, ...
[ 3.014581763 ]
[ 0.2381846288 ]
0.855692
60
[ 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0 ]
410
MAXCUT
4
ER
[ [ 0, 1, 1, 1 ], [ 1, 0, 1, 1 ], [ 1, 1, 0, 1 ], [ 1, 1, 1, 0 ] ]
[ [ 3, 1, 1, 0, 1, 0.25, 0.5, 0, 0.3333333333, 0.2222222222, 0.2592592593, 0.2469135802, 0.2510288066, 0.2496570645, 0.2501143118, 0.2499618961, 0.2500127013, 0.2499957662, 0.2500014113, 0.2499995296, 0.2500001568, 0.2499999477, ...
[ 1.8165549446 ]
[ 0.2824436096 ]
0.924379
4
[ 1, 1, 0, 0 ]
411
MAX_CLIQUE
10
BA
[ [ 0, 1, 1, 1, 0, 0, 1, 0, 0, 1 ], [ 1, 0, 0, 0, 1, 0, 1, 0, 1, 1 ], [ 1, 0, 0, 1, 1, 1, 0, 1, 1, 0 ], [ 1, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ ...
[ [ 5, 0.5555555556, 0.3, 0.2175925926, 0.6923076923, 0.1503304107, 0.4240055471, 0, 0.3733333333, 0.1133333333, 0.2242111111, 0.1462333333, 0.1794057593, 0.1542327963, 0.1645951173, 0.1559535567, 0.159392661, 0.156252209, 0.1574754696, 0...
[ 2.9497636245 ]
[ 2.6050841395 ]
1
3
[ 1, 0, 1, 1, 0, 0, 0, 0, 0, 0 ]
412
MIS
7
WS
[ [ 0, 1, 1, 1, 0, 1, 1 ], [ 1, 0, 1, 1, 0, 0, 0 ], [ 1, 1, 0, 1, 0, 0, 1 ], [ 1, 1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 1, 1 ], [ 1, 0, 0, 1, ...
[ [ 5, 0.8333333333, 0.7, 0.1044444444, 0.8571428571, 0.1727514592, 0.4534890322, 0, 0.2466666667, 0.156, 0.1917944444, 0.1728222222, 0.1821177685, 0.1768532852, 0.1795961272, 0.1780486719, 0.178873831, 0.1784125886, 0.1786614865, 0.17852...
[ 3.4037522806 ]
[ 0.4831448587 ]
1
2
[ 1, 0, 0, 0, 1, 0, 0 ]
413
MIS
12
WS
[ [ 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 1, 0, 1, ...
[ [ 4, 0.3636363636, 0.3333333333, 0.0915151515, 0.5789473684, 0.0823237366, 0.3111541006, 0, 0.225, 0.05, 0.1264895833, 0.0718958333, 0.0988918663, 0.0796214627, 0.0891986463, 0.0821610903, 0.0855823523, 0.0829777693, 0.0842043135, 0.083...
[ 3.4130868024 ]
[ 0.484375026 ]
1
4
[ 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0 ]
414
MIS
13
REG
[ [ 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1 ], [ 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1 ], [ 0, 1, ...
[ [ 6, 0.5, 0.6666666667, 0.0141414141, 0.6666666667, 0.0696742326, 0.2603375076, 0, 0.1345899471, 0.0602796674, 0.077027227, 0.0683235584, 0.070687616, 0.0695323825, 0.0698956448, 0.0697281802, 0.0697866251, 0.069760813, 0.0697704661, 0....
[ 3.3131749944 ]
[ 0.5568018047 ]
1
4
[ 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1 ]
415
MAXCUT
16
LOLLIPOP
[ [ 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, ...
[ [ 7, 0.4666666667, 1, 0, 0.2941176471, 0.0671055518, 0.3522407085, 0, 0.1403061224, 0.1180758017, 0.1201745367, 0.1186782293, 0.1180606406, 0.1172696408, 0.1166892029, 0.1160531581, 0.1155413039, 0.1149954142, 0.1145357087, 0.1140521446...
[ 2.952138247 ]
[ 0.2520646887 ]
0.856915
24
[ 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0 ]
416
MAXCUT
16
LOLLIPOP
[ [ 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, ...
[ [ 7, 0.4666666667, 1, 0, 0.2941176471, 0.0671055518, 0.3522407085, 0, 0.1403061224, 0.1180758017, 0.1201745367, 0.1186782293, 0.1180606406, 0.1172696408, 0.1166892029, 0.1160531581, 0.1155413039, 0.1149954142, 0.1145357087, 0.1140521446...
[ 0.1894462235 ]
[ 1.3187317769 ]
0.856915
24
[ 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0 ]
417
MIS
12
BA
[ [ 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 1, 0, 0, ...
[ [ 3, 0.2727272727, 0.3333333333, 0.0424242424, 0.5, 0.0759780505, 0.2417518911, 0, 0.2888888889, 0.0444444444, 0.1561234568, 0.0532345679, 0.1111373937, 0.0603917695, 0.0928203862, 0.0656247482, 0.0844935781, 0.0691054167, 0.0803494068, ...
[ 3.4303607408 ]
[ 0.4910642465 ]
1
5
[ 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0 ]
418
MIS
15
LOLLIPOP
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[ [ 6, 0.4285714286, 1, 0, 0.28, 0.0715573303, 0.3757688734, 0, 0.1626984127, 0.1322751323, 0.1357237339, 0.1333249349, 0.1324791564, 0.1312878179, 0.1304506179, 0.1295072333, 0.128767278, 0.1279630734, 0.1272994843, 0.1265908551, 0.1...
[ 3.3590314374 ]
[ 0.4939902929 ]
1
5
[ 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0 ]
419
MAXCUT
14
LOLLIPOP
[ [ 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 ], ...
[ [ 6, 0.4615384615, 1, 0, 0.3170731707, 0.0767222072, 0.3757688382, 0, 0.1626984127, 0.1322751323, 0.1357237339, 0.1333249349, 0.1324791564, 0.1312878179, 0.1304506179, 0.1295072333, 0.128767278, 0.1279630734, 0.1272994843, 0.1265908551,...
[ 2.9314994657 ]
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0.858996
19
[ 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0 ]
420
MAXCUT
14
LOLLIPOP
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[ [ 6, 0.4615384615, 1, 0, 0.3170731707, 0.0767222072, 0.3757688382, 0, 0.1626984127, 0.1322751323, 0.1357237339, 0.1333249349, 0.1324791564, 0.1312878179, 0.1304506179, 0.1295072333, 0.128767278, 0.1279630734, 0.1272994843, 0.1265908551,...
[ 2.9315479319 ]
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0.858996
19
[ 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0 ]
421
MIS
11
LOLLIPOP
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[ [ 4, 0.4, 1, 0, 0.3225806452, 0.0960364197, 0.4386822572, 0, 0.2375, 0.16875, 0.18140625, 0.17296875, 0.1717167969, 0.1682666016, 0.1663813721, 0.1638681152, 0.1621526303, 0.1600798741, 0.158544801, 0.1567606504, 0.1553789619, 0...
[ 3.4540990791 ]
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1
4
[ 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0 ]
422
MIS
8
REG
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[ 0.2345562044 ]
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1
2
[ 1, 1, 0, 0, 0, 0, 0, 0 ]
423
MIS
10
ER
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[ [ 4, 0.4444444444, 0.6666666667, 0.0125, 0.6428571429, 0.0769542613, 0.2530946464, 0, 0.1586309524, 0.04375, 0.0924270892, 0.0648433396, 0.0791754861, 0.071334842, 0.0755704834, 0.0732598989, 0.074518548, 0.0738315255, 0.0742065286, 0.0...
[ 0.2048868373 ]
[ 2.6100913435 ]
1
3
[ 1, 0, 1, 0, 0, 0, 1, 0, 0, 0 ]
424
MAXCUT
4
ER
[ [ 0, 1, 1, 1 ], [ 1, 0, 1, 1 ], [ 1, 1, 0, 1 ], [ 1, 1, 1, 0 ] ]
[ [ 3, 1, 1, 0, 1, 0.25, 0.5, 0, 0.3333333333, 0.2222222222, 0.2592592593, 0.2469135802, 0.2510288066, 0.2496570645, 0.2501143118, 0.2499618961, 0.2500127013, 0.2499957662, 0.2500014113, 0.2499995296, 0.2500001568, 0.2499999477, ...
[ 1.325028156 ]
[ 1.2883620216 ]
0.924379
4
[ 1, 1, 0, 0 ]
425
MIS
6
REG
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[ [ 3, 0.6, 0.3333333333, 0.1, 0.7142857143, 0.1666666667, 0.4082482905, 0, 0.3333333333, 0.0740740741, 0.2345679012, 0.1234567901, 0.1961591221, 0.1472336534, 0.1796982167, 0.1580043693, 0.1724499992, 0.1628139342, 0.1692360958, 0.164954...
[ 0.3662838799 ]
[ 2.7012331047 ]
1
2
[ 1, 0, 1, 0, 0, 0 ]
426
MIS
13
BA
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[ [ 11, 0.9166666667, 0.2909090909, 0.3929292929, 0.9230769231, 0.1717652119, 0.5003481306, 0, 0.2714285714, 0.1450525665, 0.2109812778, 0.1684422999, 0.1942244422, 0.1770534315, 0.1877760331, 0.1806756892, 0.1851630227, 0.1822119158, 0.18409...
[ 2.9640997191 ]
[ 2.5654178759 ]
1
7
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1 ]
427
MIS
16
LOLLIPOP
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[ 3.3287224495 ]
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1
5
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428
MIS
10
WS
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[ 3.4249674855 ]
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1
3
[ 1, 0, 0, 1, 0, 0, 1, 0, 0, 0 ]
429
MAX_CLIQUE
13
WS
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[ 3.301279611 ]
[ 0.6309731047 ]
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4
[ 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]
430
MIS
11
LOLLIPOP
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[ 0.3125091773 ]
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1
4
[ 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0 ]
431
MAXCUT
4
ER
[ [ 0, 1, 1, 1 ], [ 1, 0, 1, 1 ], [ 1, 1, 0, 1 ], [ 1, 1, 1, 0 ] ]
[ [ 3, 1, 1, 0, 1, 0.25, 0.5, 0, 0.3333333333, 0.2222222222, 0.2592592593, 0.2469135802, 0.2510288066, 0.2496570645, 0.2501143118, 0.2499618961, 0.2500127013, 0.2499957662, 0.2500014113, 0.2499995296, 0.2500001568, 0.2499999477, ...
[ 2.8958298692 ]
[ 1.8532597021 ]
0.924379
4
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432
MIS
5
REG
[ [ 0, 1, 1, 1, 1 ], [ 1, 0, 1, 1, 1 ], [ 1, 1, 0, 1, 1 ], [ 1, 1, 1, 0, 1 ], [ 1, 1, 1, 1, 0 ] ]
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[ 3.4212205816 ]
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1
1
[ 1, 0, 0, 0, 0 ]
433
MIS
5
WS
[ [ 0, 1, 1, 1, 1 ], [ 1, 0, 1, 1, 1 ], [ 1, 1, 0, 1, 1 ], [ 1, 1, 1, 0, 1 ], [ 1, 1, 1, 1, 0 ] ]
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[ 0.2796287954 ]
[ -0.4495809459 ]
1
1
[ 1, 0, 0, 0, 0 ]
434
MAXCUT
15
ER
[ [ 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1 ], [ 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, ...
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[ 3.3029065898 ]
[ 1.2915178287 ]
0.851017
40
[ 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ]
435
MAXCUT
11
WS
[ [ 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1 ], [ 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0 ], [ 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 1, 0, 1, 0, 0, 1, ...
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[ 3.3819959493 ]
[ 1.2395879377 ]
0.859626
16
[ 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0 ]
436
MAX_CLIQUE
17
WS
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[ [ 4, 0.25, 0.1666666667, 0.144047619, 0.4705882353, 0.0602498862, 0.1814377742, 0, 0.2916666667, 0.03125, 0.1550347222, 0.0483420139, 0.1019616609, 0.0544984592, 0.0788291866, 0.0568998295, 0.0683054032, 0.0579353177, 0.0633963072, 0.05...
[ 3.2598745228 ]
[ 0.737895968 ]
1
3
[ 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
437
MAXCUT
8
REG
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[ [ 5, 0.7142857143, 0.6, 0.0476190476, 0.7777777778, 0.125, 0.3535533906, 0, 0.2, 0.096, 0.1392, 0.1184, 0.128192, 0.1234688, 0.12573952, 0.124643328, 0.125172224, 0.1249168589, 0.1250401444, 0.1249806172, 0.1250093588, 0.1249954...
[ 1.7758599618 ]
[ 0.296515325 ]
0.850065
14
[ 1, 0, 1, 1, 1, 0, 0, 0 ]
438
MAXCUT
5
REG
[ [ 0, 1, 1, 1, 1 ], [ 1, 0, 1, 1, 1 ], [ 1, 1, 0, 1, 1 ], [ 1, 1, 1, 0, 1 ], [ 1, 1, 1, 1, 0 ] ]
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[ 0.2067882551 ]
[ 1.3054781113 ]
0.984202
6
[ 1, 1, 0, 0, 0 ]
439
MAX_CLIQUE
16
BA
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[ 3.0311778418 ]
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1
3
[ 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
440
MAX_CLIQUE
7
BA
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[ 3.4617772575 ]
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1
3
[ 1, 1, 0, 1, 0, 0, 0 ]
441
MIS
14
WS
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[ 3.4249658224 ]
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1
4
[ 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ]
442
MIS
10
BA
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[ [ 6, 0.6666666667, 0.2, 0.4467592593, 0.75, 0.1840556403, 0.4402087656, 0, 0.45, 0.0851851852, 0.3094135802, 0.1232921811, 0.2541538066, 0.1452291952, 0.2270735644, 0.1595773574, 0.2119931531, 0.1691672781, 0.2029783567, 0.1755348645, ...
[ 2.8905395393 ]
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0.993618
5
[ 0, 1, 0, 1, 0, 1, 1, 1, 0, 0 ]
443
MAX_CLIQUE
9
WS
[ [ 0, 1, 1, 0, 0, 0, 0, 1, 1 ], [ 1, 0, 1, 1, 0, 0, 0, 0, 1 ], [ 1, 1, 0, 0, 1, 1, 0, 0, 0 ], [ 0, 1, 0, 0, 1, 1, 0, 0, 0 ], [ 0, 0, 1, 1, ...
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[ 2.8629682102 ]
[ 2.6567426854 ]
1
3
[ 1, 1, 1, 0, 0, 0, 0, 0, 0 ]
444
MAX_CLIQUE
14
LOLLIPOP
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[ [ 6, 0.4615384615, 1, 0, 0.3170731707, 0.0767222072, 0.3757688382, 0, 0.1626984127, 0.1322751323, 0.1357237339, 0.1333249349, 0.1324791564, 0.1312878179, 0.1304506179, 0.1295072333, 0.128767278, 0.1279630734, 0.1272994843, 0.1265908551,...
[ 2.6893587152 ]
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1
7
[ 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 ]
445
MIS
15
WS
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1
5
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446
MAX_CLIQUE
16
BA
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[ 2.773425845 ]
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1
3
[ 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
447
MIS
7
WS
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[ [ 4, 0.6666666667, 0.5, 0.05, 0.75, 0.1421826201, 0.3866960859, 0, 0.2375, 0.075, 0.1953125, 0.10125, 0.1762109375, 0.116015625, 0.1644892578, 0.1254140625, 0.1569251709, 0.1315103027, 0.1520094025, 0.135474939, 0.1488116433, 0....
[ 2.8629436908 ]
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1
3
[ 1, 0, 0, 1, 1, 0, 0 ]
448
MAX_CLIQUE
10
REG
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[ 0.2824218636 ]
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1
4
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449
MIS
17
LOLLIPOP
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[ 3.3304434022 ]
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1
6
[ 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1 ]
450
MAX_CLIQUE
12
WS
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[ [ 4, 0.3636363636, 0.5, 0.0787878788, 0.5238095238, 0.0832136631, 0.2843887311, 0, 0.25, 0.09375, 0.13984375, 0.096484375, 0.1052766927, 0.0911897786, 0.0924308133, 0.0874075928, 0.0872395096, 0.0853370953, 0.0850469867, 0.0842936866, ...
[ 2.9666957714 ]
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1
3
[ 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
451
MAXCUT
5
REG
[ [ 0, 1, 1, 1, 1 ], [ 1, 0, 1, 1, 1 ], [ 1, 1, 0, 1, 1 ], [ 1, 1, 1, 0, 1 ], [ 1, 1, 1, 1, 0 ] ]
[ [ 4, 1, 1, 0, 1, 0.2, 0.4472135955, 0, 0.25, 0.1875, 0.203125, 0.19921875, 0.2001953125, 0.1999511719, 0.200012207, 0.1999969482, 0.2000007629, 0.1999998093, 0.2000000477, 0.1999999881, 0.200000003, 0.1999999993, 0.200000000...
[ 2.9348439111 ]
[ 1.8360859453 ]
0.984202
6
[ 1, 1, 0, 0, 0 ]
452
MIS
13
REG
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[ [ 9, 0.75, 0.5833333333, 0.0493867244, 0.8, 0.0881848259, 0.3154716709, 0, 0.1346560847, 0.074670362, 0.0974677431, 0.0866902844, 0.0915746371, 0.0892635765, 0.0903499021, 0.0898340678, 0.0900790197, 0.0899623565, 0.0900179578, 0.089991...
[ 3.2980254214 ]
[ 0.5644122515 ]
1
4
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0 ]
453
MIS
4
ER
[ [ 0, 1, 1, 1 ], [ 1, 0, 1, 1 ], [ 1, 1, 0, 1 ], [ 1, 1, 1, 0 ] ]
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[ 3.4971383733 ]
[ 0.4102240512 ]
1
1
[ 1, 0, 0, 0 ]
454
MAX_CLIQUE
14
LOLLIPOP
[ [ 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 ], ...
[ [ 6, 0.4615384615, 1, 0, 0.3170731707, 0.0767222072, 0.3757688382, 0, 0.1626984127, 0.1322751323, 0.1357237339, 0.1333249349, 0.1324791564, 0.1312878179, 0.1304506179, 0.1295072333, 0.128767278, 0.1279630734, 0.1272994843, 0.1265908551,...
[ -0.1303037764 ]
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1
7
[ 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 ]
455
MAXCUT
8
REG
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[ [ 5, 0.7142857143, 0.6, 0.0476190476, 0.7777777778, 0.125, 0.3535533906, 0, 0.2, 0.096, 0.1392, 0.1184, 0.128192, 0.1234688, 0.12573952, 0.124643328, 0.125172224, 0.1249168589, 0.1250401444, 0.1249806172, 0.1250093588, 0.1249954...
[ 4.5073591689 ]
[ 1.2742444213 ]
0.850065
14
[ 1, 1, 0, 0, 1, 1, 0, 0 ]
456
MAXCUT
9
WS
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[ [ 4, 0.5, 0.5, 0.0714285714, 0.6666666667, 0.1111111111, 0.3333333333, 0, 0.25, 0.09375, 0.140625, 0.107421875, 0.1176757812, 0.1102294922, 0.1126098633, 0.1108856201, 0.1114597321, 0.1110515594, 0.1111932993, 0.1110952199, 0.111130...
[ 1.8072240214 ]
[ 1.2518760821 ]
0.928624
12
[ 1, 1, 0, 0, 1, 1, 0, 0, 0 ]
457
MAXCUT
5
WS
[ [ 0, 1, 1, 1, 1 ], [ 1, 0, 1, 1, 1 ], [ 1, 1, 0, 1, 1 ], [ 1, 1, 1, 0, 1 ], [ 1, 1, 1, 1, 0 ] ]
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[ 1.3640568399 ]
[ 0.2653113766 ]
0.984202
6
[ 1, 1, 0, 0, 0 ]
458
MAXCUT
16
LOLLIPOP
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[ [ 7, 0.4666666667, 1, 0, 0.2941176471, 0.0671055518, 0.3522407085, 0, 0.1403061224, 0.1180758017, 0.1201745367, 0.1186782293, 0.1180606406, 0.1172696408, 0.1166892029, 0.1160531581, 0.1155413039, 0.1149954142, 0.1145357087, 0.1140521446...
[ 2.9521164343 ]
[ 3.3936735704 ]
0.856915
24
[ 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0 ]
459
MAX_CLIQUE
12
LOLLIPOP
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[ [ 5, 0.4545454545, 1, 0, 0.34375, 0.089240395, 0.4042131806, 0, 0.1933333333, 0.1493333333, 0.1555333333, 0.1513244444, 0.1501911111, 0.1482688, 0.1470201726, 0.1455393375, 0.1444287571, 0.1431805967, 0.1421864121, 0.1410958616, 0.1...
[ 3.2958453934 ]
[ 0.5746868524 ]
1
6
[ 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0 ]
460
MIS
12
WS
[ [ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1 ], [ 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1 ], [ 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, ...
[ [ 4, 0.3636363636, 0.6666666667, 0.0490909091, 0.55, 0.0811788443, 0.3466265214, 0, 0.2125, 0.095, 0.12353125, 0.090925, 0.0996761892, 0.0867504896, 0.0905038606, 0.0848684388, 0.0865873064, 0.0840481336, 0.0848422488, 0.0836774173, ...
[ 2.870130418 ]
[ 2.6577774442 ]
1
4
[ 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0 ]
461
MAXCUT
16
LOLLIPOP
[ [ 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, ...
[ [ 7, 0.4666666667, 1, 0, 0.2941176471, 0.0671055518, 0.3522407085, 0, 0.1403061224, 0.1180758017, 0.1201745367, 0.1186782293, 0.1180606406, 0.1172696408, 0.1166892029, 0.1160531581, 0.1155413039, 0.1149954142, 0.1145357087, 0.1140521446...
[ 2.952144944 ]
[ 0.252030279 ]
0.856915
24
[ 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0 ]
462
MAX_CLIQUE
13
REG
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[ [ 4, 0.3333333333, 0.1666666667, 0.0568181818, 0.6, 0.065653962, 0.2037330922, 0, 0.2232142857, 0.0119047619, 0.1096200633, 0.0399309492, 0.0794967091, 0.0529570191, 0.0692778179, 0.0584121276, 0.0653448759, 0.0607153455, 0.0637293265, ...
[ 2.9734315027 ]
[ -0.5560073522 ]
1
4
[ 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ]
463
MAXCUT
7
REG
[ [ 0, 1, 0, 1, 1, 1, 0 ], [ 1, 0, 1, 1, 0, 1, 0 ], [ 0, 1, 0, 0, 1, 1, 1 ], [ 1, 1, 0, 0, 1, 0, 1 ], [ 1, 0, 1, 1, 0, 0, 1 ], [ 1, 1, 1, 0, ...
[ [ 4, 0.6666666667, 0.5, 0.0666666667, 0.75, 0.1428571429, 0.377964473, 0, 0.25, 0.09375, 0.171875, 0.126953125, 0.1518554688, 0.1378173828, 0.145690918, 0.1412658691, 0.1437511444, 0.1423549652, 0.1431392431, 0.1426986754, 0.1429461...
[ 0.2364625856 ]
[ -0.3188752602 ]
0.866716
10
[ 1, 0, 1, 1, 0, 0, 0 ]
464
MIS
14
WS
[ [ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], ...
[ [ 2, 0.1538461538, 1, 0, 0.3170731707, 0.0448508371, 0.041528039, 0, 0.2916666667, 0.0833333333, 0.1512152778, 0.0875, 0.1026425058, 0.0785441985, 0.0797000347, 0.06860282, 0.0663747156, 0.0603006926, 0.0576584245, 0.0538931057, 0.0...
[ 0.2556026345 ]
[ 2.6452481785 ]
1
5
[ 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0 ]
465
MAX_CLIQUE
11
LOLLIPOP
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[ [ 4, 0.4, 1, 0, 0.3225806452, 0.0960364197, 0.4386822572, 0, 0.2375, 0.16875, 0.18140625, 0.17296875, 0.1717167969, 0.1682666016, 0.1663813721, 0.1638681152, 0.1621526303, 0.1600798741, 0.158544801, 0.1567606504, 0.1553789619, 0...
[ 0.1672618839 ]
[ 2.5854702809 ]
1
5
[ 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0 ]
466
MIS
10
ER
[ [ 0, 0, 1, 0, 1, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 1, 1, 0 ], [ 1, 0, 0, 0, 1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ], [ ...
[ [ 4, 0.4444444444, 0.3333333333, 0.1064814815, 0.6428571429, 0.1036044865, 0.3431423829, 0, 0.225, 0.0333333333, 0.1619907407, 0.0659259259, 0.1362191358, 0.0826324588, 0.1230333433, 0.0919003915, 0.1157197204, 0.0972820155, 0.1114900146, ...
[ 2.8763167354 ]
[ -0.4986714932 ]
1
4
[ 0, 1, 1, 1, 0, 0, 1, 0, 0, 0 ]
467
MAX_CLIQUE
11
WS
[ [ 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1 ], [ 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1 ], [ 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 1, 0, 1, 1, 0, 0, ...
[ [ 4, 0.4, 0.5, 0.0888888889, 0.5555555556, 0.0909090909, 0.3015113446, 0, 0.25, 0.09375, 0.140625, 0.09765625, 0.1079101562, 0.0948486328, 0.0969848633, 0.0927886963, 0.0931396484, 0.0917396545, 0.0917426348, 0.0912622809, 0.0912245...
[ 0.7060340748 ]
[ 0.3802908216 ]
1
3
[ 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]
468
MAXCUT
5
WS
[ [ 0, 1, 1, 1, 1 ], [ 1, 0, 1, 1, 1 ], [ 1, 1, 0, 1, 1 ], [ 1, 1, 1, 0, 1 ], [ 1, 1, 1, 1, 0 ] ]
[ [ 4, 1, 1, 0, 1, 0.2, 0.4472135955, 0, 0.25, 0.1875, 0.203125, 0.19921875, 0.2001953125, 0.1999511719, 0.200012207, 0.1999969482, 0.2000007629, 0.1999998093, 0.2000000477, 0.1999999881, 0.200000003, 0.1999999993, 0.200000000...
[ 4.9191242242 ]
[ 2.8763119482 ]
0.984202
6
[ 1, 1, 0, 0, 0 ]
469
MAXCUT
10
ER
[ [ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 1, 0, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 1, 1, 0, 1, 1, 1, 1, 1, 1, 1 ], [ 1, 1, 1, 0, 1, 1, 1, 1, 1, 1 ], [ ...
[ [ 9, 1, 1, 0, 1, 0.1, 0.316227766, 0, 0.1111111111, 0.0987654321, 0.1001371742, 0.0999847584, 0.1000016935, 0.0999998118, 0.1000000209, 0.0999999977, 0.1000000003, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1 ], [ 9, 1, 1, ...
[ 1.4450914024 ]
[ 1.3537647106 ]
0.980394
25
[ 1, 1, 1, 1, 1, 0, 0, 0, 0, 0 ]
470
MAXCUT
6
BA
[ [ 0, 1, 1, 1, 1, 1 ], [ 1, 0, 0, 1, 1, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 0, 0, 1 ], [ 1, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 1, 0, 0 ] ]
[ [ 5, 1, 0.3, 0.6, 1, 0.3022723519, 0.5785375121, 0, 0.5333333333, 0.1777777778, 0.3992592593, 0.2575308642, 0.3475473251, 0.2901947874, 0.3267060814, 0.3034540162, 0.3182606849, 0.3088315467, 0.3148361256, 0.311012324, 0.3134473731,...
[ 3.4266793003 ]
[ 1.2443413118 ]
0.858124
6
[ 1, 1, 0, 0, 0, 0 ]
471
MIS
4
REG
[ [ 0, 1, 1, 1 ], [ 1, 0, 1, 1 ], [ 1, 1, 0, 1 ], [ 1, 1, 1, 0 ] ]
[ [ 3, 1, 1, 0, 1, 0.25, 0.5, 0, 0.3333333333, 0.2222222222, 0.2592592593, 0.2469135802, 0.2510288066, 0.2496570645, 0.2501143118, 0.2499618961, 0.2500127013, 0.2499957662, 0.2500014113, 0.2499995296, 0.2500001568, 0.2499999477, ...
[ -0.3555977497 ]
[ 3.551841783 ]
1
1
[ 1, 0, 0, 0 ]
472
MAXCUT
4
REG
[ [ 0, 1, 1, 1 ], [ 1, 0, 1, 1 ], [ 1, 1, 0, 1 ], [ 1, 1, 1, 0 ] ]
[ [ 3, 1, 1, 0, 1, 0.25, 0.5, 0, 0.3333333333, 0.2222222222, 0.2592592593, 0.2469135802, 0.2510288066, 0.2496570645, 0.2501143118, 0.2499618961, 0.2500127013, 0.2499957662, 0.2500014113, 0.2499995296, 0.2500001568, 0.2499999477, ...
[ 1.8165730877 ]
[ 1.8532390163 ]
0.924379
4
[ 1, 1, 0, 0 ]
473
MAX_CLIQUE
10
WS
[ [ 0, 1, 1, 1, 0, 0, 0, 0, 1, 1 ], [ 1, 0, 1, 1, 0, 0, 0, 0, 0, 1 ], [ 1, 1, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 1, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ ...
[ [ 5, 0.5555555556, 0.5, 0.0833333333, 0.6923076923, 0.1210496892, 0.3968845258, 0, 0.2566666667, 0.1233333333, 0.1568638889, 0.1282069444, 0.1343970093, 0.1264044769, 0.1280575454, 0.1254509545, 0.1260479953, 0.1251207239, 0.1253703414, ...
[ 2.9127118481 ]
[ -0.5108463054 ]
1
3
[ 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 ]
474
MIS
14
ER
[ [ 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1 ], [ 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1 ], [ 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], ...
[ [ 5, 0.3846153846, 0.5, 0.0388888889, 0.5909090909, 0.0790664571, 0.3105794279, 0, 0.1769047619, 0.0505952381, 0.1099047761, 0.071811378, 0.0922432198, 0.0790786446, 0.0866190399, 0.0816422792, 0.084635888, 0.0826156311, 0.0838807586, 0...
[ 3.3528479348 ]
[ 0.5424815366 ]
1
7
[ 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0 ]
475
MAXCUT
8
WS
[ [ 0, 1, 0, 0, 1, 0, 1, 1 ], [ 1, 0, 1, 1, 0, 0, 0, 1 ], [ 0, 1, 0, 1, 1, 0, 0, 0 ], [ 0, 1, 1, 0, 1, 1, 0, 0 ], [ 1, 0, 1, 1, 0, 1, 1, 0 ]...
[ [ 4, 0.5714285714, 0.5, 0.0555555556, 0.7, 0.1243561432, 0.3627387412, 0, 0.2375, 0.0875, 0.151875, 0.113515625, 0.1324042969, 0.1214619141, 0.1271395589, 0.1239175008, 0.1256294971, 0.1246711189, 0.1251867583, 0.1249005721, 0.12505...
[ -0.2364756941 ]
[ 0.3196754829 ]
0.900072
11
[ 1, 0, 1, 0, 0, 1, 0, 0 ]
476
MIS
7
REG
[ [ 0, 1, 0, 0, 0, 1, 1 ], [ 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 1, 1 ], [ 0, 1, 1, 0, 1, 1, 1 ], [ 0, 1, 0, 1, 0, 1, 0 ], [ 1, 0, 1, 1, ...
[ [ 3, 0.5, 0, 0.0777777778, 0.6666666667, 0.1284929089, 0.3053815736, 0, 0.3055555556, 0, 0.225, 0.0475308642, 0.1855246914, 0.0777777778, 0.1618659122, 0.0962187929, 0.1474711591, 0.1074550678, 0.1386988603, 0.1143040306, 0.13335136...
[ 3.4486700571 ]
[ 0.4711779442 ]
1
3
[ 1, 0, 1, 0, 1, 0, 0 ]
477
MAXCUT
17
REG
[ [ 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1 ], [ 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0 ], [ 1, 1, 0, 0, 0, 1, 0, 1, ...
[ [ 10, 0.625, 0.6, 0.0350396825, 0.7272727273, 0.0682026593, 0.2948125299, 0, 0.113452381, 0.0635917108, 0.0737027212, 0.0697345922, 0.070742338, 0.0703479771, 0.070458114, 0.0704138847, 0.0704268057, 0.0704214681, 0.0704230768, 0.070422...
[ 2.9806884582 ]
[ 1.8535520956 ]
0.856328
47
[ 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0 ]
478
MAXCUT
7
WS
[ [ 0, 1, 1, 0, 0, 1, 1 ], [ 1, 0, 1, 1, 0, 0, 1 ], [ 1, 1, 0, 1, 1, 0, 0 ], [ 0, 1, 1, 0, 1, 1, 0 ], [ 0, 0, 1, 1, 0, 1, 1 ], [ 1, 0, 0, 1, ...
[ [ 4, 0.6666666667, 0.5, 0.0666666667, 0.75, 0.1428571429, 0.377964473, 0, 0.25, 0.09375, 0.171875, 0.126953125, 0.1518554688, 0.1378173828, 0.145690918, 0.1412658691, 0.1437511444, 0.1423549652, 0.1431392431, 0.1426986754, 0.1429461...
[ 2.9051698126 ]
[ 1.8896581605 ]
0.866716
10
[ 1, 1, 0, 0, 1, 0, 0 ]
479
MAX_CLIQUE
17
LOLLIPOP
[ [ 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 1, 1, 1, 1, ...
[ [ 7, 0.4375, 1, 0, 0.262295082, 0.0631358349, 0.3522407083, 0, 0.1403061224, 0.1180758017, 0.1201745367, 0.1186782293, 0.1180606406, 0.1172696408, 0.1166892029, 0.1160531581, 0.1155413039, 0.1149954142, 0.1145357087, 0.1140521446, 0...
[ 3.2465607334 ]
[ 0.620062439 ]
1
8
[ 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
480
MAX_CLIQUE
16
WS
[ [ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ], [ 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, ...
[ [ 4, 0.2666666667, 0.6666666667, 0.013015873, 0.3846153846, 0.063992607, 0.1155510818, 0, 0.25, 0.125, 0.1549479167, 0.1263020833, 0.1263834635, 0.1150037977, 0.1106672499, 0.1040744358, 0.0997176271, 0.0951386295, 0.0915014726, 0.08808...
[ 2.9829977825 ]
[ 2.2376473344 ]
1
4
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0 ]
481
MIS
9
REG
[ [ 0, 0, 0, 0, 1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 1, 1, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 1, 0, 1, 1, 0 ], [ 1, 0, 1, 1, ...
[ [ 2, 0.25, 0, 0.0119047619, 0.5333333333, 0.0717044709, 0.2118162554, 0, 0.225, 0, 0.1267083333, 0.0310555556, 0.0932487731, 0.0491489506, 0.0791368036, 0.0581511545, 0.0726560128, 0.0625188663, 0.0695763826, 0.0646383485, 0.0680893...
[ 3.4276830596 ]
[ 0.4905189234 ]
1
4
[ 1, 1, 1, 0, 0, 0, 0, 0, 1 ]
482
MAX_CLIQUE
8
ER
[ [ 0, 1, 0, 0, 1, 0, 1, 1 ], [ 1, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 0, 1, 1, 1, 1, 0 ], [ 0, 0, 1, 0, 0, 1, 0, 1 ], [ 1, 0, 1, 0, 0, 1, 1, 1 ]...
[ [ 4, 0.5714285714, 0.5, 0.0873015873, 0.7, 0.1258022299, 0.332940057, 0, 0.2666666667, 0.0866666667, 0.1523703704, 0.114962963, 0.1308653498, 0.1225054156, 0.1263312183, 0.1243909853, 0.1253116286, 0.1248521493, 0.1250741866, 0.12496414...
[ 0.3316693954 ]
[ 2.6706212847 ]
0.877095
4
[ 0, 0, 1, 0, 1, 1, 1, 0 ]
483
MAXCUT
8
REG
[ [ 0, 1, 0, 1, 0, 1, 1, 1 ], [ 1, 0, 1, 0, 1, 1, 0, 1 ], [ 0, 1, 0, 1, 1, 0, 1, 1 ], [ 1, 0, 1, 0, 0, 1, 1, 1 ], [ 0, 1, 1, 0, 0, 1, 1, 1 ]...
[ [ 5, 0.7142857143, 0.6, 0.0476190476, 0.7777777778, 0.125, 0.3535533906, 0, 0.2, 0.096, 0.1392, 0.1184, 0.128192, 0.1234688, 0.12573952, 0.124643328, 0.125172224, 0.1249168589, 0.1250401444, 0.1249806172, 0.1250093588, 0.1249954...
[ 1.3657314595 ]
[ 1.2743027263 ]
0.850065
14
[ 1, 1, 0, 1, 1, 0, 0, 0 ]
484
MAXCUT
6
REG
[ [ 0, 1, 1, 1, 1, 0 ], [ 1, 0, 0, 1, 1, 1 ], [ 1, 0, 0, 1, 1, 1 ], [ 1, 1, 1, 0, 0, 1 ], [ 1, 1, 1, 0, 0, 1 ], [ 0, 1, 1, 1, 1, 0 ] ]
[ [ 4, 0.8, 0.6666666667, 0.05, 0.8333333333, 0.1666666667, 0.4082482905, 0, 0.25, 0.125, 0.1875, 0.15625, 0.171875, 0.1640625, 0.16796875, 0.166015625, 0.1669921875, 0.1665039062, 0.1667480469, 0.1666259766, 0.1666870117, 0.16665...
[ 1.3429214931 ]
[ 0.2986100676 ]
0.912525
8
[ 0, 1, 1, 0, 0, 0 ]
485
MAX_CLIQUE
16
LOLLIPOP
[ [ 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, ...
[ [ 7, 0.4666666667, 1, 0, 0.2941176471, 0.0671055518, 0.3522407085, 0, 0.1403061224, 0.1180758017, 0.1201745367, 0.1186782293, 0.1180606406, 0.1172696408, 0.1166892029, 0.1160531581, 0.1155413039, 0.1149954142, 0.1145357087, 0.1140521446...
[ 0.1130114576 ]
[ -0.6201377436 ]
1
8
[ 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]
486
MAX_CLIQUE
7
BA
[ [ 0, 1, 1, 1, 1, 0, 1 ], [ 1, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 1, 0, 1, 1 ], [ 1, 0, 1, 0, 1, 0, 0 ], [ 1, 0, 0, 1, 0, 1, 0 ], [ 0, 0, 1, 0, ...
[ [ 5, 0.8333333333, 0.3, 0.4555555556, 0.8571428571, 0.2429605557, 0.5308279754, 0, 0.4833333333, 0.1277777778, 0.3387037037, 0.1960493827, 0.2866028807, 0.2264087791, 0.2658312529, 0.2394853262, 0.257115268, 0.2451702428, 0.2533177783, ...
[ 3.4409372003 ]
[ 0.4743081064 ]
1
3
[ 1, 0, 1, 1, 0, 0, 0 ]
487
MIS
15
WS
[ [ 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1 ], [ 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, ...
[ [ 5, 0.3571428571, 0.3, 0.1036630037, 0.56, 0.0809204215, 0.3125371756, 0, 0.2566666667, 0.0833333333, 0.1416722222, 0.0891333333, 0.1074860926, 0.087462537, 0.0940299839, 0.0857420919, 0.0881905071, 0.0846434756, 0.0855657318, 0.084020...
[ 3.4121557041 ]
[ 0.4912111713 ]
1
6
[ 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0 ]
488
MAXCUT
16
LOLLIPOP
[ [ 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, ...
[ [ 7, 0.4666666667, 1, 0, 0.2941176471, 0.0671055518, 0.3522407085, 0, 0.1403061224, 0.1180758017, 0.1201745367, 0.1186782293, 0.1180606406, 0.1172696408, 0.1166892029, 0.1160531581, 0.1155413039, 0.1149954142, 0.1145357087, 0.1140521446...
[ 3.3310511733 ]
[ 1.3187482864 ]
0.856915
24
[ 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0 ]
489
MAX_CLIQUE
11
WS
[ [ 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1 ], [ 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1 ], [ 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0 ], [ 0, 1, 1, 0, 1, 1, 0, 0, ...
[ [ 4, 0.4, 0.5, 0.0681481481, 0.5555555556, 0.0915172945, 0.2909609306, 0, 0.2583333333, 0.0979166667, 0.14375, 0.1000607639, 0.1096809896, 0.0960508898, 0.0979050383, 0.0933778913, 0.0935886123, 0.0920219214, 0.091954194, 0.0913944698, ...
[ 3.3404302486 ]
[ 0.5272054625 ]
1
3
[ 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]
490
MIS
14
ER
[ [ 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0 ], [ 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1 ], [ 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1 ], ...
[ [ 10, 0.7692307692, 0.6666666667, 0.0310643061, 0.8125, 0.0744159887, 0.2690843941, 0, 0.108023088, 0.0658652543, 0.0774168383, 0.0738015326, 0.0748834668, 0.0745487603, 0.0746511415, 0.074619374, 0.0746292032, 0.0746261375, 0.074627094, ...
[ 3.2727242861 ]
[ 0.5927606722 ]
1
3
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0 ]
491
MAXCUT
14
LOLLIPOP
[ [ 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 ], ...
[ [ 6, 0.4615384615, 1, 0, 0.3170731707, 0.0767222072, 0.3757688382, 0, 0.1626984127, 0.1322751323, 0.1357237339, 0.1333249349, 0.1324791564, 0.1312878179, 0.1304506179, 0.1295072333, 0.128767278, 0.1279630734, 0.1272994843, 0.1265908551,...
[ 0.2100644138 ]
[ 1.3058876845 ]
0.858996
19
[ 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0 ]
492
MIS
17
WS
[ [ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 1, 1, 0, 0, 1, 0, 0, 0, ...
[ [ 3, 0.1875, 0.6666666667, 0.0183333333, 0.4324324324, 0.0471360517, 0.1373873876, 0, 0.25, 0.0833333333, 0.1194444444, 0.0739583333, 0.0775607639, 0.0617037037, 0.060463111, 0.0539280216, 0.0525158328, 0.0495218184, 0.0485577429, 0.047...
[ 0.272568896 ]
[ 2.6570876008 ]
1
6
[ 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0 ]
493
MAX_CLIQUE
16
ER
[ [ 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, ...
[ [ 8, 0.5333333333, 0.5714285714, 0.0312698413, 0.6818181818, 0.070508723, 0.2890559438, 0, 0.1316017316, 0.0633711155, 0.0802288121, 0.0709323128, 0.0738883628, 0.0723872672, 0.0729177875, 0.0726642682, 0.0727594654, 0.0727157291, 0.0727328...
[ 3.0003251949 ]
[ -0.5917970004 ]
1
5
[ 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0 ]
494
MIS
11
ER
[ [ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 1, 1, 1, 0, 1, 1, 1, 1, ...
[ [ 10, 1, 1, 0, 1, 0.0909090909, 0.3015113446, 0, 0.1, 0.09, 0.091, 0.0909, 0.09091, 0.090909, 0.0909091, 0.09090909, 0.090909091, 0.0909090909, 0.0909090909, 0.0909090909, 0.0909090909, 0.0909090909, 0.0909090909 ], [ ...
[ 3.0111678473 ]
[ 2.5690047763 ]
1
1
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
495
MAXCUT
8
ER
[ [ 0, 1, 0, 0, 0, 1, 0, 1 ], [ 1, 0, 0, 1, 0, 1, 1, 0 ], [ 0, 0, 0, 1, 1, 1, 0, 1 ], [ 0, 1, 1, 0, 1, 0, 1, 0 ], [ 0, 0, 1, 1, 0, 0, 1, 0 ]...
[ [ 3, 0.4285714286, 0.6666666667, 0.0158730159, 0.5833333333, 0.1030928746, 0.2938308833, 0, 0.25, 0.0833333333, 0.140625, 0.0911458333, 0.1138237847, 0.0952148437, 0.1051771376, 0.0976686831, 0.1020376417, 0.0989315598, 0.1008262781, 0....
[ 3.3883190633 ]
[ 1.2413344657 ]
0.857306
11
[ 1, 0, 1, 0, 0, 0, 1, 0 ]
496
MIS
12
REG
[ [ 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1 ], [ 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1 ], [ 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1 ], [ 0, 0, 1, 0, 1, ...
[ [ 5, 0.4545454545, 0.4, 0.053030303, 0.6470588235, 0.0833333333, 0.2886751346, 0, 0.2, 0.064, 0.1104, 0.07616, 0.0912, 0.0804096, 0.08593664, 0.082147328, 0.0842560512, 0.0828603597, 0.0836720599, 0.0831472288, 0.083459969, 0.08...
[ 3.3750429523 ]
[ 0.5037683538 ]
1
4
[ 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0 ]
497
MAXCUT
5
REG
[ [ 0, 1, 1, 1, 1 ], [ 1, 0, 1, 1, 1 ], [ 1, 1, 0, 1, 1 ], [ 1, 1, 1, 0, 1 ], [ 1, 1, 1, 1, 0 ] ]
[ [ 4, 1, 1, 0, 1, 0.2, 0.4472135955, 0, 0.25, 0.1875, 0.203125, 0.19921875, 0.2001953125, 0.1999511719, 0.200012207, 0.1999969482, 0.2000007629, 0.1999998093, 0.2000000477, 0.1999999881, 0.200000003, 0.1999999993, 0.200000000...
[ 1.3640199005 ]
[ 0.2653425972 ]
0.984202
6
[ 1, 1, 0, 0, 0 ]
498
MIS
16
ER
[ [ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0 ], [ 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1 ], [ 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, ...
[ [ 13, 0.8666666667, 0.6538461538, 0.0412018141, 0.8823529412, 0.0801699831, 0.3237670342, 0, 0.1028749029, 0.0809221292, 0.084148919, 0.0832309409, 0.0833864064, 0.0833273226, 0.083337582, 0.0833329039, 0.0833337038, 0.0833332984, 0.0833333...
[ -0.1279699069 ]
[ -2.5489122212 ]
1
4
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1 ]
499
MAXCUT
6
ER
[ [ 0, 1, 1, 1, 1, 1 ], [ 1, 0, 1, 1, 1, 1 ], [ 1, 1, 0, 1, 1, 1 ], [ 1, 1, 1, 0, 1, 1 ], [ 1, 1, 1, 1, 0, 1 ], [ 1, 1, 1, 1, 1, 0 ] ]
[ [ 5, 1, 1, 0, 1, 0.1666666667, 0.4082482905, 0, 0.2, 0.16, 0.168, 0.1664, 0.16672, 0.166656, 0.1666688, 0.16666624, 0.166666752, 0.1666666496, 0.1666666701, 0.166666666, 0.1666666668, 0.1666666666, 0.1666666667 ], [ ...
[ 1.390305899 ]
[ 1.3188109882 ]
0.957688
9
[ 1, 1, 1, 0, 0, 0 ]