Kruskal's Algorithm:Kruskal's algorithm is a minimum-spanning-tree algorithm which finds an edge of the least possible weight that connects any two trees in the forest. This algorithm is a Greedy Algorithm.The steps to find a MST using this algorithm are as follows:Sort all the edges in non-decreasing order of their weight.Pick the smallest edge. Check if it forms a cycle with the spanning tree formed so far. If cycle is not formed, include this edge. Else, discard it.Repeat step2 until there are (V-1) edges in the spanning tree.Example with 10 vertices and 20 weighted edges:

Consider the following graph with “10” vertices and “20” weighted edges as an example,

Answered: Kruskal's Algorithm: Kruskal's…

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

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Kruskal's Algorithm:

Kruskal's algorithm is a minimum-spanning-tree algorithm which finds an edge of the least possible weight that connects any two trees in the forest. This algorithm is a Greedy Algorithm.

The steps to find a MST using this algorithm are as follows:

Sort all the edges in non-decreasing order of their weight.
Pick the smallest edge. Check if it forms a cycle with the spanning tree formed so far. If cycle is not formed, include this edge. Else, discard it.
Repeat step2 until there are (V-1) edges in the spanning tree.

Example with 10 vertices and 20 weighted edges:

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