An Euler path, in a graph or multigraph, is a walk through the graph which uses every edge exactly once. An Euler circuit is an Euler path which starts and stops at the same vertex. NOTE: graphs are in the image attached.Which of the graphs below have Euler paths? Which have Euler circuits?List the degrees of each vertex of the graphs above. Is there a connection between degrees and the existence of Euler paths and circuits?Is it possible for a graph with a degree 1 vertex to have an Euler circuit? If so, draw one. If not, explain why not. What about an Euler path?What if every vertex of the graph has degree 2. Is there an Euler path? An Euler circuit? Draw some graphs.Below is part of a graph. Even though you can only see some of the vertices, can you deduce whether the graph will have an Euler path or circuit? NOTE: graphs is in the image attached.

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Answered: An Euler path, in a graph or…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

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An Euler path, in a graph or multigraph, is a walk through the graph which uses every edge exactly once. An Euler circuit is an Euler path which starts and stops at the same vertex.

NOTE: graphs are in the image attached.

Which of the graphs below have Euler paths? Which have Euler circuits?
List the degrees of each vertex of the graphs above. Is there a connection between degrees and the existence of Euler paths and circuits?
Is it possible for a graph with a degree 1 vertex to have an Euler circuit? If so, draw one. If not, explain why not. What about an Euler path?
What if every vertex of the graph has degree 2. Is there an Euler path? An Euler circuit? Draw some graphs.
Below is part of a graph. Even though you can only see some of the vertices, can you deduce whether the graph will have an Euler path or circuit? NOTE: graphs is in the image attached.

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