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How many spanning trees does a complete bipartite graph contain?

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How many spanning trees does a complete bipartite graph contain?

(a) n^m

(b) m^n-1 * n^n-1

(c) 1

(d) 0

I have been asked this question in an online interview.

The doubt is from Bipartite Graphs in chapter Bipartite Graphs of Data Structures & Algorithms II

1 Answer

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Correct answer is (b) m^n-1 * n^n-1

The best I can explain: Spanning tree of a given graph is defined as the subgraph or the tree with all the given vertices but having minimum number of edges. So, there are a total of m^n-1 * n^n-1 spanning trees for a complete bipartite graph.

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