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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 5, Problem 21RE

Textbook Problem

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Efficient Route The distances, in miles, between five different cities are given in the table. Sketch a weighted graph that represents the distances, and then use the greedy algorithm to design a route that starts in Memphis, visits each city, and returns to Memphis while attempting to minimize the total distance traveled.

To determine

**To sketch:**

The weighted circuit and design a route which starts with Memphis and ends in Memphis traveled with a short distance

**Given:**

Distance of 5 different cities in miles

Table:

Memphis | Nashville | Atlanta | Birmingham | Jackson | |

Memphis | - | 210 | 394 | 247 | 213 |

Nashville | 210 | - | 244 | 189 | 418 |

Atlanta | 394 | 244 | - | 148 | 383 |

Birmingham | 247 | 189 | 148 | - | 239 |

Jackson | 213 | 418 | 383 | 239 | - |

Use Greedy algorithm

**Calculation:**

Let the graph be

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