   # 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. ### Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584

#### Solutions

Chapter
Section ### Mathematical Excursions (MindTap C...

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.

### Explanation of Solution

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.

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