How does Kruskal's algorithm find the minimum spanning tree in a graph?A) By selecting the edge with the smallest weightB) By selecting the edge with the largest weightC) By selecting edges randomlyD) By selecting edges based on a priority queu
Question
How does Kruskal's algorithm find the minimum spanning tree in a graph?A) By selecting the edge with the smallest weightB) By selecting the edge with the largest weightC) By selecting edges randomlyD) By selecting edges based on a priority queu
Solution
Kruskal's algorithm finds the minimum spanning tree in a graph by following these steps:
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Sort all the edges from the given graph in non-decreasing order of their weight.
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Start adding edges to the Minimum Spanning Tree. Always pick the smallest edge that does not form a cycle with the MST already included.
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Repeat step 2 until there are (V-1) edges in the spanning tree, where V is the number of vertices in the given graph.
So, the correct answer to your question is A) By selecting the edge with the smallest weight. The algorithm does not select edges randomly, based on a priority queue, or by selecting the edge with the largest weight.
Similar Questions
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