   Chapter 10.1, Problem 48ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# If a graph contains a circuits that starts and ends at a vertex v, does the graph contain a simple circuit that starts and ends at v? Why?

To determine

If a graph contains a circuit that starts and ends at a vertex v, does the graph contain a simple circuit that starts and ends at v ? Why?

Explanation

Given information: A graph contains a circuit that starts and ends at a vertex v.

Calculation:

Let ve1v1e2v2...vn1env be a circuit that starts and ends at vertex v in some graph G (for some positive integer n ).

If the circuit ve1v1e2v2...vn1env contains no repeated vertices, then the circuit ve1v1e2v2...vn1env is a simple circuit as well

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