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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section12.6: Rotations And Symmetry
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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.
A
Transcribed Image Text:A
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