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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 5.1, Problem 22ES

Textbook Problem

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(a) determine whether the graph is Eulerian. If it is, find an Euler circuit. If it is not, explain why. (b)If the graph does not have an Euler circuit, does it have an Euler path? If so, find one. If not, explain why.

To determine

To determine if the graph is Eulerian. If it is, to find an Euler circuit else to explain why not. And if the graph does not have an Euler circuit, to check if it has an Euler path. If it has to find it else to explain the reason for not having an Euler path.

**Given information:**

Given graph is

â€ƒâ€ƒ

**Calculation:**

A graph is said to be Eulerian graph if it is a connected graph and every vertex of the graph has even degree.

Here,

The degree of A is 4

The degree of B is 4

The degree of C is 4

The degree of D is 4

The degree of E is 4

The degree of F is 4

The degree of G is 4

The degree of H is 4

The degree of I is 4

The degree of J is 4

Since the graph is connected and all the vertices have even degree, the graph is Eulerian...

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