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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 5.2, Problem 32ES

Textbook Problem

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Route Planning A city engineer needs to inspect the traffic signs at each street intersection of a neighborhood. The engineer has drawn a graph to represent the neighborhood, where the edges represent the streets and the vertices correspond to street intersections. Would the most efficient route to drive correspond to an Euler circuit, a Hamiltonian circuit, or neither? (The engineer must return to the starting location when finished.) Explain your answer.

To determine

To find if the most efficient route to drive corresponds to an Euler circuit, a Hamiltonian circuit, or neither.

**Given information:**

Given, a city engineer needs to inspect the traffic signs at each street intersection of a neighborhood.

The engineer has drawn a graph to represent the neighborhood, where the edges represent the streets and the vertices correspond to street intersections.

The engineer must return to the starting location when finished.

**Calculation:**

A circuit (that starts and ends at the same vertex) is said to be an Euler circuit if it uses every edge but only once. (i.e...

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