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Suppose a tourist is visiting a city that has 7 tourist sites. The graph above is a the seven tourist sites and the roads that connect them. He wants to visit all 7 s 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.

Suppose a tourist is visiting a city that has 7 tourist sites. The graph above is a the seven tourist sites and the roads that connect them. He wants to visit all 7 s 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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Suppose a tourist is visiting a city that has 7 tourist sites. The graph above is a representation of the seven tourist sites and the roads that connect them. He wants to visit all 7 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.
Transcribed Image Text:Suppose a tourist is visiting a city that has 7 tourist sites. The graph above is a representation of the seven tourist sites and the roads that connect them. He wants to visit all 7 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.
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