Suppose that T is a minimum spanning tree for a connected, weighted graph G and that G
Chapter 10, Problem 24(choose chapter or problem)
Suppose that T is a minimum spanning tree for a connected, weighted graph G and that G contains an edge e (not a loop) that is not in T. Let v and w be the endpoints of e. By exercise 18 there is a unique path in T from v to w. Let \(e^{\prime}\) be any edge of this path. Prove that \(w\left(e^{\prime}\right) \leq w(e)\).
Text Transcription:
e^prime
w(e^prime) leq w(e)
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