Let G = (V, E) be a weighted undirected connected graph that contains a cycle. Let...

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Let G = (V, E) be a weighted undirected connected graph that contains a cycle. Let...

Let G = (V, E) be a weighted undirected connected graph that contains a cycle.

Let k ∈ E be the edge with maximum weight among all edges in the cycle.

Prove that G has a minimum spanning tree NOT including k.

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Answer 1

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The figure below shows the minimum spanning tree

Where,k ∈ E be the edge with maximum weight among all edges in the cycle.Proving that G has a minimum spanning tree NOT including k.

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Answer 2

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