Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 11 - Section 11.4 - Spanning Trees - Exercises - Page 796: 35

Answer

Explaining how to use breadth-first search to find the length of a shortest path between two vertices in an undirected graph.

Work Step by Step

--Assume that we wish to find the length of a shortest path from v1 to every other vertex of G using Algorithm 1. -In line 2 of that algorithm, add L(v1) := 0, and add the following as a third step in the then clause at the end: --L(w) := 1+L(v).
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