Let G(V, E,w) be a weighted undirected graph, where V is the set of vertices, E...

Let G(V, E,w) be a weighted undirected graph, where V is the set of vertices, E is the set of edges, and w : E → R + is the weight of the edges (R + is the set of real positive numbers). Suppose T(G) is the set of all minimum spanning trees of G and is non-empty. If we know that the weight function w is a injection, i.e., no two edges in G have the same weight, then:

a) How many elements would T(G) has? Please support your answer to the above question with a proof.

Expert Solution

venereology answered 6 months ago

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