Consider the following. B E Determine whether the graph is Eulerian. If it is, find an Euler circuit. If it is not, explain why. type the letter corresponding to the correct answer. a) Yes. A-E-A-D-E-D-C-E-C-B-E-B is an Euler circuit. b) Not Eulerian. There are more than two vertices of odd degree. c) Yes. E-C-E-B-E-A-D-E is an Euler circuit. d) Not Eulerian. There are vertices of degree less than three. e) Not Eulerian. There are vertices of odd degree. If the graph does not have an Euler circuit, does it have an Euler path? If so, find one. If not, explain why. a) This graph does not have an Euler path. There are more than two vertices of odd degree. b) This graph does not have an Euler path. There are vertices of odd degree. c) Yes. A-E-A-D-E-D-C-E-C-B-E-B is an Euler path. d) The graph has an Euler circuit. e) This graph does not have an Euler path. There are vertices of degree less than three.
Consider the following. B E Determine whether the graph is Eulerian. If it is, find an Euler circuit. If it is not, explain why. type the letter corresponding to the correct answer. a) Yes. A-E-A-D-E-D-C-E-C-B-E-B is an Euler circuit. b) Not Eulerian. There are more than two vertices of odd degree. c) Yes. E-C-E-B-E-A-D-E is an Euler circuit. d) Not Eulerian. There are vertices of degree less than three. e) Not Eulerian. There are vertices of odd degree. If the graph does not have an Euler circuit, does it have an Euler path? If so, find one. If not, explain why. a) This graph does not have an Euler path. There are more than two vertices of odd degree. b) This graph does not have an Euler path. There are vertices of odd degree. c) Yes. A-E-A-D-E-D-C-E-C-B-E-B is an Euler path. d) The graph has an Euler circuit. e) 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
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider the following.
B
Determine whether the graph is Eulerian. If it is, find an Euler circuit. If it is not, explain why.
type the letter corresponding to the correct answer.
a) Yes. A-E-A-D-E-D-C-E-C-B-E-B is an Euler circuit.
b) Not Eulerian. There are more than two vertices of odd degree.
c) Yes. E-C-E-B-E-A-D-E is an Euler circuit.
d) Not Eulerian. There are vertices of degree less than three.
e) Not Eulerian. There are vertices of odd degree.
If the graph does not have an Euler circuit, does it have an Euler path? If so, find one. If not, explain why.
a) This graph does not have an Euler path. There are more than two vertices of odd degree.
b) This graph does not have an Euler path. There are vertices of odd degree.
c) Yes. A-E-A-D-E-D-C-E-C-B-E-B is an Euler path.
d) The graph has an Euler circuit.
e) This graph does not have an Euler path. There are vertices of degree less than three.
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