What is the first line of the proof? a). Assume G has an Eulerian circuit. b). Assume every vertex has even degree. c). Let v be any vertex in G. d). Let.

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Presentation transcript:

What is the first line of the proof? a). Assume G has an Eulerian circuit. b). Assume every vertex has even degree. c). Let v be any vertex in G. d). Let v be a vertex of odd degree.

What is the second line of the proof? a). Assume G has an Eulerian circuit. b). Assume every vertex has even degree. c). Let v be any vertex in G. d). Let v be a vertex of odd degree.

How many edges need to be repeated in order to walk around the graph shown and include every edge at least once?

How many edges need to be repeated in order to walk around the graph shown and include every edge at least once?

How many edges need to be repeated in order to walk around the graph shown and include every edge at least once?

How many edges need to be repeated in order to walk around the graph shown and include every edge at least once?

How many edges need to be repeated in order to walk around the graph shown and include every edge at least once? a). 0 b). 1 c). 2 d). 3 e). 4 f). 5 g). 6 h). 7 i). 8

Does the graph shown have a Hamilton cycle? a). Yes b). No

Does the graph shown have a Hamilton cycle? a). Yes b). No

Does the graph shown have a Hamilton cycle? a). Yes b). No

Does the graph shown have a Hamilton cycle? a). Yes b). No

Does the graph shown have a Hamilton cycle? a). Yes b). No

Does the graph shown have a Hamilton cycle? a). Yes b). No