Consider the following. A. E/ (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 more than two vertices of odd degree. O Yes. A-E-A-D-E-D-C-E-C-B-E-B is an Euler circuit. O Not Eulerian. There are vertices of odd degree. O Yes. E-C-E-B-E-A-D-E is an Euler circuit. O Not Eulerian. There are vertices of degree less than three. (b) If the graph does not have an Euler circuit, does it have an Euler path? If so, find one. If not, explain why. Yes. A-E-A-D-E-D-C-E-C-B-E-B is an Euler path. The graph has an Euler circuit. This graph does not have an Euler path. There are vertices of odd degree. This graph does not have an Euler path. There are more than two vertices of odd degree. This graph does not have an Euler path. There are vertices of degree less than three.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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9.
DETAILS
Consider the following.
B
E
(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 more than two vertices of odd degree.
O Yes. A-E-A-D-E-D-C-E-C-B-E-B is an Euler circuit.
O Not Eulerian. There are vertices of odd degree.
O Yes. E-C-E-B-E-A-D-E is an Euler circuit.
O Not Eulerian. There are vertices of degree less than three.
(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 Yes. A-E-A-D-E-D-C-E-C-B-E-B is an Euler path.
O The graph has an Euler circuit.
O This graph does not have an Euler path. There are vertices of odd degree.
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 degree less than three.
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Transcribed Image Text:i webassign.net/web/Student/Assignment-Responses/last?dep=26339106 M Gmail Q Quizlet E Google Docs M HBO Max N Netflix Disney+ h Hulu a Ama Apps Student - Samford.. 9. DETAILS Consider the following. B E (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 more than two vertices of odd degree. O Yes. A-E-A-D-E-D-C-E-C-B-E-B is an Euler circuit. O Not Eulerian. There are vertices of odd degree. O Yes. E-C-E-B-E-A-D-E is an Euler circuit. O Not Eulerian. There are vertices of degree less than three. (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 Yes. A-E-A-D-E-D-C-E-C-B-E-B is an Euler path. O The graph has an Euler circuit. O This graph does not have an Euler path. There are vertices of odd degree. 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 degree less than three. 11,558 FEB 25 MacBook Pro Q Search or type URL esc @ # $ & 1 6. 7 Q W E R Y qE A F H J lock LO
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