Unnamed: 0 int64 1 5.86k | Question stringclasses 24
values | Sample ANS stringclasses 24
values | Student ANS stringlengths 1 1.06k | Score float64 0 2.5 |
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3,720 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | Infinite | 1 |
3,721 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | 2^n | 1 |
3,722 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | minimum n^(n-2) | 1 |
3,723 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | 2^n | 1 |
3,724 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | there can be multiple spanning trees for a single graph | 1 |
3,725 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | A graph can have infinite spanning trees at max. | 1 |
3,726 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | Graph can have many MSTs n-1 | 1 |
3,727 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | A graph can have n-1(where n is no. of edges) spanning trees. | 1 |
3,728 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | 2^(N-1) N IS NO OF VERTEX | 2.5 |
3,729 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | n^(n-2) | 1 |
3,730 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | A graph can have multiple spanning trees depending on how many edges it has between its nodes. If only a single edge exists between any two adjacent nodes in a graph, it will have only one spanning tree. However, if it has multiple edges then we can have multiple spanning trees. If there are weighted edges, the spannin... | 1 |
3,732 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | n^(n-2) | 1 |
3,733 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | A graph having vertex v and edges e can have | 1 |
3,734 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | if a graph has V no. of edges in its structure, then it will have (V-1) no. of spanning trees possible depending on the different weights of the graph and paths of traversal. | 1 |
3,735 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | 1 to many. | 1 |
3,736 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | edge - 1; | 1 |
3,737 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | the graph can have n-1 no. of spanning trees where n is the no. of nodes in the graph. | 1 |
3,738 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | the number of spanning trees of a graph are equal to the number of vertices of the graph | 1 |
3,739 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | The graph can have | 1 |
3,740 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | no of nodes-1 | 1 |
3,741 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | the spanning tree an graph can have n^n-2 | 1 |
3,742 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | If there are N vertices, a graph can have N - 1 Spanning Trees | 1 |
3,743 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | a graph can have as many spanning trees as possible and the solution might differ so there is no one correct answer.But there can be only 1 Minimum spanning tree unless the weights are similar. | 1 |
3,744 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | a graph can has a maximum of n^(n-2) number of spanning trees. | 1 |
3,745 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | as many no of edges are there in a graph | 1 |
3,746 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | (number of vertices -1) is the number of spanning trees a graph can has | 1 |
3,747 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | a graph can have minimum spanning tree= number of number of edges-number of vertices+1 | 1 |
3,748 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | (n^(n-2)) spanning tress can be made from a graph. | 1 |
3,749 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | spanning trees can a graph has depend on number of vertices. if graph has 6 vertices then graph have 6 spanning trees. | 1 |
3,750 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | n^n-2 number of spanning trees where n is number of nodes. | 1 |
3,751 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | A graph can have many spanning trees unless it is not forming cycle. | 1 |
3,752 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | Minimum 2 | 1 |
3,753 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | The no. of spanning tree are equal to the no. of vertices that are making a round. | 1 |
3,754 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | minimum of 1 and maximum n^(n-2)\n | 1 |
3,755 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | max spanning trees can be no. of vertex+1 | 1 |
3,756 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | The number of spanning trees a graph can have is the number of nodes it has. | 1 |
3,757 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | n (n-2) | 1 |
3,758 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | AVL Tree is the Binary Search Tree with the condition that the Nodes have weights. It is a balanced Binary tree. | 1 |
3,759 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | AVL tree is a balanced binary tree | 1 |
3,760 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | A graph can have as many/multiple spanning trees as there are there are the number of ways of travelling through it. | 1 |
3,761 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | number of vertices of graph - 2 | 2 |
3,762 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | V-2\nV=no of vertices | 1 |
3,763 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | equal to number of edges. | 2 |
3,764 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | n to the power (n-2). | 1 |
3,765 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | 2^n | 2 |
3,766 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | maximum nn-2 | 1 |
3,767 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | Graph with number of edges as E can have E number of spanning trees.. | 1 |
3,768 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | A graph can have (V-1) spanning trees. | 2 |
3,769 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | graph can have multiple spanning trees. | 2 |
3,770 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | many but only one mst | 1 |
3,771 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | Number of spanning trees= number of nodes + number of edges to be removed to make a spanning tree | 2 |
3,772 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | number of spanning trees that a graph has | 2 |
3,773 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | (Number of Edges) Combinations (Number of vertices - 1) [We have to ensure parallel/self edges are removed and while formation of MST, cycles are not formed] | 1 |
3,774 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | Avl tress are red black tress. | 2 |
3,775 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | equal to the no of vertices | 2 |
3,776 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | there are N^(N-2) spanning trees in the graph where N are number of nodes. | 1 |
3,777 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | n^n-2 | 1 |
3,778 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | An additional balanced binary search tree is the AVL tree. Similar to red-black trees, they are not completely balanced, but pairs of sub-trees have height differences between them of not more than 1, preserving an O(logn) search time. | 1 |
3,779 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | (V*E)/2 | 1 |
3,780 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | n(n-2), where n is no. of vertices | 2 |
3,781 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | Spanning trees can be made by removing edges from the original tree by keeping in mind that the resulting graph should not be connected. | 1 |
3,782 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | a graph can have many spanning trees as possible but only one minimum spanning tree. | 1 |
3,783 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | spanning tree = vertex -1 | 2 |
3,784 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | A connected graph has 2^n spanning trees where n is number of nodes. | 2 |
3,785 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | quick sort select a random allie and then according to that it sorted the present array, then this process is applied to further sub arrays until we get the sorted array. | 1 |
3,786 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | Only three spanning trees are possible of a complete graph. | 2 |
3,787 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | E - V + 1 where E is the no. of edges , V is the no. of vertices in the graph. | 2 |
3,788 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | a graph can have many number of spanning trees depending on number of nodes and which node is connected to which one | 1 |
3,789 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | infinite | 1 |
3,790 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | The number of edges. | 1 |
3,791 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | An AVL tree is a special type of Binary search Tree in which the difference between the left and right height of the subtrees cannot exceed 1. | 1 |
3,792 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | maximum of 1.3 trillion or 3^20 | 2 |
3,793 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | a graph can have infinite number of spanning trees. | 1 |
3,794 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | n-2 graph\n | 1 |
3,795 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | not more than [n*n-1] spanning trees can a graph has | 2 |
3,796 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | A graph can has E number of spanning trees where E is the number of edges of the graph. | 2 |
3,797 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | it can have (n-1) spanning where n is number of nodes | 2 |
3,798 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | A graph can have infinite spanning tree | 2 |
3,799 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | A graph can have N+1 spanning trees if number of nodes is N. | 1 |
3,800 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | a graph can have number of vertices - 1 spanning trees | 1 |
3,801 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | avl tree is similar to red black tree but in this case the height difference of the left and right side is maintained thus it is used to make a tree more balanced. | 1 |
3,802 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | a graph has same number of spanning trees as its number of edges. | 1 |
3,803 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | at most N where N is the number of node in graph | 1 |
3,805 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | A spanning tree is a sub-graph of an undirected connected graph,which includes all the vertices of a graph with a minimum possible number of edges.,if vertex is missed ,then its not a spanning tree. The edges may or may not have weights attached to them. | 2 |
3,806 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | A graph can have multiple spanning trees and it depends of which graph we are creating the spanning tree. | 2 |
3,807 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | A graph can have many spanning trees | 2 |
3,808 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | AVL Tree refers to the tree that is created by inserting each and every element and then by changing the position ,if required. | 1 |
3,809 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | total edges -(n-1) where n is the number of nodes | 2 |
3,810 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | A graph can have spanning trees equal to number of nodes in that graph. | 2 |
3,811 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | A graph can has many spanning trees but it has only one minimum spanning tree. | 2 |
3,812 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | a graph can hav any number of spanning tree. It would mainly depend on the number of edges, more the edges, more spanning trees can be formed. | 2 |
3,813 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | if the number of vertices is 1 then the graph can have v-1 spanning trees. | 2 |
3,814 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | A graph can have mutiple spanning tree we can find by removing edges and hence having no. of edges! possibilities. | 2 |
3,815 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | no. of spanning trees is equal to no. of edges | 2 |
3,817 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | there are many spanning trees which are there for a graph, but there can be only one spanning tree of the graph. | 2 |
3,818 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | Condition the number of spanning tree= the (n-1) edges and 'n' number of vertices. | 2 |
3,819 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | An AVL tree is a type of BST in which the parent node is bigger than the child node and it is made by rotations. | 2 |
3,820 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | A graph can have many spanning trees till it follows the condition of v vertices and v-1 edges. | 2 |
3,821 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | if number of vertices is N the there will be N-1 spanning trees | 2 |
3,822 | How many spanning trees can a graph has? | It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes. | A graph can have spanning trees equal to (V-1) ! | 2 |
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