(a) Explanation Given: A graph as shown below; Explanation: A graph that travels through every edge only once is called Euler graph. If path of Euler graph starts and ends at same vertex then it is called Euler Circuit. First determine the degree of each vertex, as Euler graph will no odd degree vertex has at least one Euler circuit. Let’s find out degree of each vertex Degree of A is 2 , Degree of B is 2 (b) To determine To calculate: Euler Circuit using trial and error or Fleury’s algorithm.

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ISBN: 8220100802720

Author: Blitzer

Publisher: PEARSON

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Chapter 14, Problem 8T

(a)

To determine

The graph has an Euler path, an Euler circuit or neither.

(b)

To determine

To calculate: Euler Circuit using trial and error or Fleury’s algorithm.

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Chapter 14, Problem 7T

Chapter 14, Problem 9T

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Chapter 14 Solutions

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The graph has an Euler path, an Euler circuit or neither.

Solution Summary: The author explains that a graph that travels through every edge only once is called Euler graph. The required circuit is D, A, C, E, B, D.

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The graph has an Euler path, an Euler circuit or neither.

To calculate: Euler Circuit using trial and error or Fleury’s algorithm.

Want to see the full answer?

Chapter 14 Solutions