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#7 Can the graph below have a Euler circuit? If yes, find one (show as an alternating sequence of v's and e's). If no, explain.

#7 Can the graph below have a Euler circuit? If yes, find one (show as an alternating sequence of v's and e's). If no, explain.

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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I attached this question from graphs in discrete math. Thank you for your help. 

#7 Can the graph below have a Euler circuit? If yes, find one (show as an alternating sequence of v's and e's). If no, explain. e5 v5 e9 V6 e10 v2 e11 es e6 e3 e1 e4 V7 e12 VA v3 e7 ez v1
Transcribed Image Text:#7 Can the graph below have a Euler circuit? If yes, find one (show as an alternating sequence of v's and e's). If no, explain. e5 v5 e9 V6 e10 v2 e11 es e6 e3 e1 e4 V7 e12 VA v3 e7 ez v1
Expert Solution
Step 1

Consider the given graph.

It has 7 vertices and 12 edges.

Identify the degree of each vertex of the given graph.

degv1=2degv2=4degv3=4degv4=4degv5=4degv6=2degv7=4

Since each vertex has an even degree, the given graph has an Euler circuit.

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