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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 5.1, Problem 24ES

Textbook Problem

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Parks in Exercises 23 and 24, a map of a park is shown with bridges connecting islands in a river to the banks.

- Represent the map as a graph. See Figures 5.3 and 5.4 on page 234.
- Is it possible to take a walk that crosses each bridge once and returns to the starting point without crossing any bridge twice? If not, can you do it if you do not end at the starting point? Explain how you know.

To determine

**(a)**

**To graph:**

To represent the given map as a graph.

**Given information:**

Given map of a park with bridges connecting islands in a river to the banks is

**Calculation:**

To represent the map as a graph, each land is considered a vertex and each bridge is considered an edge...

To determine

**(b)**

To determine if it is possible to take a walk that crosses each bridge once and returns to the starting point without crossing any bridge twice. If not, to check if the same is possible without ending at the starting point.

Mathematical Excursions (MindTap Course List)

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