Recent questions tagged minimum-spanning-tree

2 2 votes
2 2 answers
2.1k
2.1k views
Consider a 'reversed Kruskal' Algorithm for computing a MST. Initialize T to be the set of all edges in the graph. Now consider edges from largest to smallest cost. For e...
0 0 votes
1 1 answer
1.1k
1.1k views
Suppose, the MST of a graph of n vertices has already been constructed. Now, if one new vertex is added to the graph along with 'i' incident edges. What is the max number...
3 3 votes
0 0 answers
1.1k
1.1k views
Show that a graph has a unique minimum spanning tree if, for every cut of the graphs, there is a unique line edge crossing the cut. Show that the converse is not true by ...
4 4 votes
1 1 answer
1.8k
1.8k views
Consider the following statementsI. Let T be a minimum spanning tree of a graph G.Then for any two vertices u and v the path from u to v in T is the shortest path from u ...
2 2 votes
1 answers 1 answer
851
851 views
Consider the following Graph G: The number of minimum cost spanning trees using Kruskal's Algorithm is _________ .
1 1 vote
1 answers 1 answer
534
534 views
Let the node P be the starting vertex for Prim's Algorithm as given in the diagram below:In order to construct the Minimum Spanning Tree, which of the following options r...
0 0 votes
1 1 answer
883
883 views
For finding minimum number of spanning tree using kirchoff rule we construct adjacency matrix and find cofactors.so my question is what if we have 6*6 matrix or more than...
1 1 vote
3 3 answers
7.3k
7.3k views
Let $K_n$ denote the complete undirected graph with $n$ vertices where n is an even number. Find the maximum number of spanning trees of $K_n$ that can be formed in such ...
0 0 votes
1 1 answer
662
662 views
1 1 vote
1 answers 1 answer
2.0k
2.0k views
In given graph G if only AC and BC belong to its minimum spanning tree, then what can be the minimum sum of weights of all edges in the graph G?A. 13B. 14C. 20D. 21
2 2 votes
0 0 answers
678
678 views
Show the different minimum spanning Trees Possible in each of the following AlgorithmsPrims AlgorithmKruskal
1 1 vote
1 1 answer
861
861 views
For a simple, undirected, weighted graph each edge havind distinct weight, How is it possible that there can be more than $1$ second best minimum spanning tree?
1 1 vote
2 2 answers
1.0k
1.0k views
1 1 vote
2 answers 2 answers
3.2k
3.2k views
Find the no. of minimum cost spanning tree using Kruskal’s or Primus algorithmi am getting "4" but the answer is given "5" ...verify please
9 9 votes
1 answers 1 answer
5.4k
5.4k views
A complete graph G with 5 nodes has positive weight edges,each edge has a distinct weight with an integer value and maximum weight is equal to number of edges in G.What c...
4 4 votes
2 2 answers
881
881 views
Let G(V, E) be an undirected graph with positive edge weights. What is the worst case time complexity to find minimum spanning tree using Kruskal algorithm is implemented...
0 0 votes
3 3 answers
2.3k
2.3k views
0 0 votes
1 1 answer
751
751 views
how many numbers of MST possible for n vertex:1. all the weight edges are distinct2. all the weight edges are different
1 1 vote
1 answers 1 answer
1.3k
1.3k views
Which one of the following is true?1) For any graph G Kruskal and Prims both give same MST.2)The running time of Prims algo can be improved if we use Fibonacci Heap inste...
1 1 vote
0 0 answers
711
711 views
adding a constant to graph edges doesnt change the edges that belong to minimum spanning tree of the graph ryt?
0 0 votes
2 answers 2 answers
2.7k
2.7k views
Given a graph G and a minimum spanning tree T, suppose that we decrease the weight of one of the edges in T. Show that T is still a minimum spanning tree for G. More form...
4 4 votes
1 answers 1 answer
2.6k
2.6k views
Consider the following adjacency matrix representation of connected graph then find the number of spanning trees are possible for the given graph$\begin{bmatrix} 0&1&1&1&...
2 2 votes
1 answers 1 answer
780
780 views
1 1 vote
1 1 answer
502
502 views
https://gateoverflow.in/?qa=blob&qa_blobid=15165260876214054240
0 0 votes
0 0 answers
594
594 views
Let G be a weighted undirected graph and e be an edge with mazimum weight in G. suppose there is a minimum weight spanning tree in G containing edge e. which of the follo...
2 2 votes
3 3 answers
2.5k
2.5k views
Can Prim's and Kruskal's algorithm yield different minimum spanning trees? Explain why or why not.