-12 points AuExc4 5.1 021 Consider the following. (a) Determine whether the grap

Question

-12 points AuExc4 5.1 021 Consider the following. (a) Determine whether the graph is Eulerian. If it is, find an Euler circuit. If it is not, explain why O Yes. E-A-D-E-G-D-C-G-F-C-B-F-A-B-E-F is an Euler circuit O Not Eulerian. There are vertices of odd degree. O Not Eulerian. There are vertices of degree less than four. Yes. A-E-A-F-B-C-G-F-E-D-A-E is an Euler circuit. O Not Eulerian. There are more than two vertices of odd degree. b) If the graph does not have an Euler circuit, does it have an Euler walk? If so, find one. If not, explain why. - This graph does not have an Euler walk. There are more than two vertices of odd degree. O This graph does not have an Euler walk. There are vertices of odd degree. The graph has an Euler circuit. O Yes. E-A-D-E-G-D-C-G-F-C-B-F-A-B-E-F is an Euler walk. O This graph does not have an Euler walk. There are vertices of degree less than four. Need Help? eadTalk to a Tuitor

Explanation / Answer

a) option 1: yes, E-A-D-E-G-D-C-G-F-C-B-F-A-B-E-F is a euler circuit.

b) option 3: the graph has an euler circuit         Reason : for euler walk their should be only two odd degree vertices.

c) option 2: the graph is hamiltonian cycle A-B-C-D-E-G-F-A.       Reason : in hamiltonian cycle vertice should touch only once.

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