Consider the graph in Fig. 28. (a) Find all the Hamilton circuits in the graph, using A

Chapter 6, Problem 12

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Consider the graph in Fig. 28. (a) Find all the Hamilton circuits in the graph, using A as the starting/ending vertex. You dont have to list both a circuit and its reversalyou can just list one from each pair. (b) Find all the Hamilton paths that do not come from broken Hamilton circuits (i.e., cannot be closed into a Hamilton circuit). You dont have to list both a path and its reversalyou can just list one from each pair. (Hint: Such paths must either start or end at C. You can just list all the paths that start at C the ones that end at C are their reversals.) A C B E D FIgurE 28

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