Let G be a connected graph, and let T1, T2 be two spanning trees. Prove that T1 can be transformed to T2 by a sequence of intermediate trees, each obtained by deleting an edge from the previous tree and adding another.

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Q: MST is minimum spanning tree.

A: the solution is below

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A:

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Minimum Spanning Tree

A spanning tree is a sub-graph of a connected, undirected graph. It has all the vertices of a graph with the minimum possible number of edges. If a vertex is skipped, then it will not be a spanning tree. The edges of a spanning tree may or may not have weights.