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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 5.1, Problem 26ES

Textbook Problem

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Transportation For the direct air flights given in Exercise 2, is it possible to start at one city and fly every route offered without repeating any flight if you return to the starting city? Explain how you reached your conclusion.

To determine

To determine if it is possible to start at one city and fly every route offered without repeating any flight if the end point is same as the starting city.

**Given information:**

Given, the table below shows the nonstop flights offered by a small airline.

A graph is to be made where each vertex represents a city and an edge connects two vertices if there is a nonstop flight between the corresponding cities.

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And the graph is,

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**Calculation:**

It is possible to start at one city and fly every route offered without repeating any flight and end point is same as the starting city if the graph satisfies the condition of either Euler circuit.

An Eulerian graph (that starts and ends at the same vertex) is said to be Euler circuit if it uses every edge, but only once...

Mathematical Excursions (MindTap Course List)

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