Engineering, 14.12.2019 03:31 dakotaadkins20
Eulerian and hamiltonian cycles. consider the graphs defined by 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 6-9 7-8
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 6-9 8-8
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 6-9 7-8
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 4-5 4-7
1) which of these graphs have euler cycles (cycles that visit each edge exactly once)?
2) which of them have hamilton cycles (cycles that visit each vertex exactly once)?
Answers: 1
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Eulerian and hamiltonian cycles. consider the graphs defined by the following four sets of edges:
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