You are given an undirected graph G = (V, E) with positive weights on the edges....
You are given an undirected graph G = (V, E) with positive weights on the edges. If the edge weights are distinct, then there is only one MST, so both Prim’s and Kruskal’s algorithms will find the same MST. If some of the edge weights are the same, then there can be several MSTs and the two algorithms could find different MSTs. Describe a method that forces Prim’s algorithm to find the same MST of G that Kruskal’s algorithm finds.
Homework Answers
Let us Consider the following undirected Graph G
a) Prim’s algorithm :
b) Kruskal’s algorithm :
If we observe the MST's of both Prim’s and Kruskal’s algorithms for given undirected graph G
both are finds the same MST's.
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