Prove that Prim's algorithm of Exercise 9 yields a minimal spanning tree if the graph is connected.
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Prove that Prim's algorithm of Exercise 9 yields a minimal spanning tree if the graph is connected. (Hint: Prove by induction that at each step the subgraph created by Prim's algorithm is connected and has no cycles, hence it is a tree, and moreover the Prim tree is contained in some minimal spanning tree.)
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Related Book For
Introduction To The Mathematics Of Operations Research With Mathematica
ISBN: 9781574446128
1st Edition
Authors: Kevin J Hastings
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