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Discrete Mathematics and its Applications

Found in: Page 738

Book edition 7th

Author(s) Kenneth H. Rosen

Pages 808 pages

ISBN 9780073383095

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Short Answer

Prove or disprove that there are always two vertices ofthe same degree in a finite multigraph having at least twovertices.

Disproven.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1:Prove or disprove that there are always two vertices of the same degree in a finite multigraph having at least two vertices.

The following is an example of a basic counterexample:

Step 2: Result.

Hence disproven.

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