Consider the following. X B D (a) Determine whether the graph is Eulerian. If it is, find an Euler circuit. If it is not, explain why. O Not Eulerian. There are vertices of odd degree. O Not Eulerian. There are more than two vertices of odd degree. O Yes. A-E-A-F-B-C-G-F-E-D-A-E is an Euler circuit. O Not Eulerian. There are vertices of degree less than four. Yes. E-A-D-E-G-D-C-G-F-C-B-F-A-B-E-F is an Euler circuit. (b) If the graph does not have an Euler circuit, does it have an Euler path? If so, find one. If not, explain why. O This graph does not have an Euler path. There are vertices of degree less than four. Yes. E-A-D-E-G-D-C-G-F-C-B-F-A-B-E-F is an Euler path. The graph has an Euler circuit. O This graph does not have an Euler path. There are more than two vertices of odd degree. O This graph does not have an Euler path. There are vertices of odd degree.
Consider the following. X B D (a) Determine whether the graph is Eulerian. If it is, find an Euler circuit. If it is not, explain why. O Not Eulerian. There are vertices of odd degree. O Not Eulerian. There are more than two vertices of odd degree. O Yes. A-E-A-F-B-C-G-F-E-D-A-E is an Euler circuit. O Not Eulerian. There are vertices of degree less than four. Yes. E-A-D-E-G-D-C-G-F-C-B-F-A-B-E-F is an Euler circuit. (b) If the graph does not have an Euler circuit, does it have an Euler path? If so, find one. If not, explain why. O This graph does not have an Euler path. There are vertices of degree less than four. Yes. E-A-D-E-G-D-C-G-F-C-B-F-A-B-E-F is an Euler path. The graph has an Euler circuit. O This graph does not have an Euler path. There are more than two vertices of odd degree. O This graph does not have an Euler path. There are vertices of odd degree.
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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Question
Transcribed Image Text:Consider the following.
A
D
Ε)
F
B
(a) Determine whether the graph is Eulerian. If it is, find an Euler circuit. If it is not, explain why.
O Not Eulerian. There are vertices of odd degree.
Not Eulerian. There are more than two vertices of odd degree.
Yes.
A-E-A-F-B-C-G-F-E-D-A-E is an Euler circuit.
Not Eulerian. There are vertices of degree less than four.
Yes. E-A-D-E-G-D-C-G-F-C-B-F-A-B-E-F is an Euler circuit.
(b) If the graph does not have an Euler circuit, does it have an Euler path? If so, find one. If not, explain why.
O This graph does not have an Euler path. There are vertices of degree less than four.
Yes. E-A-D-E-G-D-C-G-F-C-B-F-A-B-E-F is an Euler path.
The graph has an Euler circuit.
This graph does not have an Euler path. There are more than two vertices of odd degree.
O This graph does not have an Euler path. There are vertices of odd degree.
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