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  3. ) eulerian and hamiltonian cycles. consider the gr

) Eulerian and Hamiltonian cycles. Consider the graphs defined by the following four sets of edges: a)...

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Programming

) Eulerian and Hamiltonian cycles. Consider the graphs definedby the following four sets of edges:

a) 0-1 0-2 0-3 1-3 1-4 2-5 2-9 3-6 4-7 4-8 5-8 5-9 6-7 6-97-8

b) 0-1 0-2 0-3 1-3 0-3 2-5 5-6 3-6 4-7 4-8 5-8 5-9 6-7 6-98-8

c) 0-1 1-2 1-3 0-3 0-4 2-5 2-9 3-6 4-7 4-8 5-8 5-9 6-7 6-97-8

d) 4-1 7-9 6-2 7-3 5-0 0-2 0-8 1-6 3-9 6-3 2-8 1-5 9-8 4-54-7

1) Which of these graphs have Euler cycles (cycles that visiteach edge exactly once)?

2) Which of them have Hamilton cycles (cycles that visit eachvertex exactly once)?

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