Explanation Given information: The following is the given theorem If an undirected graph has more than two vertices of odd degree, it does not have Euler path. Calculation: Let us prove this by the method of contradiction. Let us assume that there are three vertices v 1 , v 2 and v 3 of odd degree and they have Euler path. Now if there is any Euler path, it should either leave or arrive at these vertices with no way to return back

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ISBN: 9781284056242

Author: David J. Hunter

Publisher: Jones & Bartlett Learning

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Chapter 2.6, Problem 18E

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To prove the given theorem of the Euler.

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Chapter 2.6, Problem 17E

Chapter 2.6, Problem 19E

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Chapter 2 Solutions

Essentials of Discrete Mathematics

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To prove the given theorem of the Euler.

Solution Summary: The author explains that if an undirected graph has more than two vertices of odd degree, it does not have Euler path.

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Chapter 2 Solutions