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Suppose a tourist is visiting a city that has 6 tourist sites. The graph above is a representation of<br>the six tourist sites and the roads that connect them. He wants to visit all 6 sites.<br>He can take one path through the town that is an Eulerian circuit.<br>Or he can take a path through the town that is a Hamiltonian cycle.<br>a) Give the name of one such Eulerian circuit.<br>b) Give the name of a Hamiltonian cycle.<br>c) Give a reason why a tourist might like the Eulerian circuit better.<br>d) Give a reason why a tourist might like the Hamiltonian cycle better.<br>

Extracted text: Suppose a tourist is visiting a city that has 6 tourist sites. The graph above is a representation of the six tourist sites and the roads that connect them. He wants to visit all 6 sites. He can take one path through the town that is an Eulerian circuit. Or he can take a path through the town that is a Hamiltonian cycle. a) Give the name of one such Eulerian circuit. b) Give the name of a Hamiltonian cycle. c) Give a reason why a tourist might like the Eulerian circuit better. d) Give a reason why a tourist might like the Hamiltonian cycle better.

Jun 05, 2022

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