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A map of a park is shown with bridges connecting islands in a river to the banks. (a) Represent the map as a graph. See these figures for an example. (b) Is it possible to take a walk that crosses each bridge once and return 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. Olt is not possible, returning to the starting point. However, it is possible if you do not return to the starting point, because exactly two vertices are of even degree. Ot is not possible, nor is it possible even if you do not return to the starting point. Every vertex of the graph has an odd degree. Oit is possible. Every vertex of the graph has an even degree. Oit is not possible, returning to the starting point. However, it is possible if you do not return to the starting point, because exactly two vertices are of odd degree. Olt is possible. Every vertex of the graph has an odd degree.

A map of a park is shown with bridges connecting islands in a river to the banks. (a) Represent the map as a graph. See these figures for an example. (b) Is it possible to take a walk that crosses each bridge once and return 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. Olt is not possible, returning to the starting point. However, it is possible if you do not return to the starting point, because exactly two vertices are of even degree. Ot is not possible, nor is it possible even if you do not return to the starting point. Every vertex of the graph has an odd degree. Oit is possible. Every vertex of the graph has an even degree. Oit is not possible, returning to the starting point. However, it is possible if you do not return to the starting point, because exactly two vertices are of odd degree. Olt is possible. Every vertex of the graph has an odd degree.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A map of a park is shown with bridges connecting islands in a river to the banks. (a) Represent the map as a graph. See these figures for an example. (b) Is it possible to take a walk that crosses each bridge once and return 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. Oit is not possible, returning to the starting point. However, it is possible if you do not return to the starting point, because exactly two vertices are of even degree. Olt is not possible, nor is it possible even if you do not return to the starting point. Every vertex of the graph has an odd degree. Oit is possible. Every vertex of the graph has an even degree. Olt is not possible, returning to the starting point. However, it is possible if you do not return to the starting point, because exactly two vertices are of odd degree. Oit is possible. Every vertex of the graph has an odd degree.
Transcribed Image Text:A map of a park is shown with bridges connecting islands in a river to the banks. (a) Represent the map as a graph. See these figures for an example. (b) Is it possible to take a walk that crosses each bridge once and return 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. Oit is not possible, returning to the starting point. However, it is possible if you do not return to the starting point, because exactly two vertices are of even degree. Olt is not possible, nor is it possible even if you do not return to the starting point. Every vertex of the graph has an odd degree. Oit is possible. Every vertex of the graph has an even degree. Olt is not possible, returning to the starting point. However, it is possible if you do not return to the starting point, because exactly two vertices are of odd degree. Oit is possible. Every vertex of the graph has an odd degree.
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