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11. Given the following graph. e a) Does this graph have an Euler circuit? If so, list one.

11. Given the following graph. e a) Does this graph have an Euler circuit? If so, list one.

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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11. Given the following graph. a) Does this graph have an Euler circuit? If so, list one. b) If the graph does not have an Euler circuit, does it have an Euler path? If so, list one. 12. Given the following graph. d e a a) Does this graph have an Euler circuit? If so, list one. b) If the graph does not have an Euler circuit, does it have an Euler path? If so, list one.
Transcribed Image Text:11. Given the following graph. a) Does this graph have an Euler circuit? If so, list one. b) If the graph does not have an Euler circuit, does it have an Euler path? If so, list one. 12. Given the following graph. d e a a) Does this graph have an Euler circuit? If so, list one. b) If the graph does not have an Euler circuit, does it have an Euler path? If so, list one.
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# We are entitled to solve only one question at a time ,please resubmit the other question if you wish to get it answered.

11.

(a)

Calculate the degree of each vertex as follows

e=2a=4b=4c=3d=3

the graph has a Euler circuit if all the vertices have even degree, 

since there are two vertices of odd degree, therefore the graph do not have Euler circuit

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