   # Architecture The floor plan of a sculpture gallery is shown below. Is it possible to walk through each doorway exactly once? Is it possible to walk through each doorway exactly once and return to the starting point? ### 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, Problem 12RE
Textbook Problem
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## Architecture The floor plan of a sculpture gallery is shown below. Is it possible to walk through each doorway exactly once? Is it possible to walk through each doorway exactly once and return to the starting point? To determine

The possibility to walk through each doorway exactly once and returning to the starting point.

### Explanation of Solution

Given the floor plan of sculpture gallery here.

Here, vertex represents each room. An edge is drawn between the two vertices if it has door between the rooms.

Hence the graph is as follows

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