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Math / Excursions in Modern Mathematics: Pearson New International Edition 8 / Chapter 7 / Problem 20

Excursions in Modern Mathematics: Pearson New International Edition | 8th Edition | ISBN: 9781292022048 | Authors: Peter Tannenbaum

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Get solution: In Exercises 7 through 20 you are given information about a network

Chapter 7, Problem 20

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QUESTION:

In Exercises 7 through 20 you are given information about a network. Choose one of the following three options: (A) the network is definitely a tree; (B) the network is definitely not a tree; (C) the network may or may not be a tree (more information is needed). Accompany your answer with a brief explanation for your choice.The network has two vertices of odd degree and all the othervertices of even degree. (Hint: Consider Eulers theoremsin answering this question.)

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QUESTION:

In Exercises 7 through 20 you are given information about a network. Choose one of the following three options: (A) the network is definitely a tree; (B) the network is definitely not a tree; (C) the network may or may not be a tree (more information is needed). Accompany your answer with a brief explanation for your choice.The network has two vertices of odd degree and all the othervertices of even degree. (Hint: Consider Eulers theoremsin answering this question.)

ANSWER:

Step 1 of 2

The given condition is that the network has two vertices of odd degree and all other vertices of even degree.

From above we have, the network will become a tree or will not become a tree.

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