This deals with minimum cost spanning trees. Below are three assertions. For each one, decide if it is true or false, and then give a proof or a counterexample.

a) Let T be a spanning tree of G. We can always choose weights for the edges of G so that T becomes a minimum-cost spanning tree.

b) Let T be a minimum spanning tree for the positively weighted graph G. If a demon changes each weight we to log we, the tree T is still minimum-cost.

c) Same question, but now the edge weights are arbitrary (possibly negative) and the demon changes we to w 2 e .

Subject | Computer |

Due By (Pacific Time) | 04/19/2015 12:00 am |

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