Consider the following. E (a) Determine whether the graph is Eulerian. If it is,
ID: 3196064 • Letter: C
Question
Consider the following. E (a) Determine whether the graph is Eulerian. If it is, find an Eu O Yes. B-D-E-C-D-A-E is an Euler circuit. O Yes. D-A-E-B-D-C-E-D is an Euler circuit. Not Eulerian. There are vertices of odd degree. Not Eulerian. There are more than two vertices of odd degree 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 wa This graph does not have an Euler walk. There are more than two This graph does not have an Euler walk. There are vertices of degreExplanation / Answer
The image in the first question is not clear. But I will answer the readable parts.
1(a)
Yes, the graph is Eulerian. The path D-A-E-B-D-C-E-D is a Eulerian circuit as it traverses each edge once and also starts and ends at the same vertex D.
2(a)
The graph is not Eulerian. There are vertices with odd degree (E,F).
(b)
But the graph does have Euler walks. E-A-D-E-G-D-C-G-F-C-B-F-A-B-E-F given in the option is an Euler walk.