Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 14 - Graph Theory - 14.4 Trees - Exercise Set 14.4 - Page 933: 49

Answer

The minimum spanning tree for a weighted graph is the spanning tree which has the smallest total weight.

Work Step by Step

The minimum spanning tree for a weighted graph is the spanning tree which has the smallest total weight. There could be numerous spanning trees for a given connected graph, and each spanning tree has its own total weight. The spanning tree which has the smallest total weight is called the minimum spanning tree.
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