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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 5, Problem 12T

Textbook Problem

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A group of eight friends is planning a vacation in Las Vegas, where they will split into different groups each evening to see various shows.

Karen, Ryan, and Ruby want to see Cirque du Soleil together.

Ruby, Anthony, and Jay want to see a magic show together.

Anthony, Ricardo, and Heather want to see a comedy show together.

Jenna, Ryan, and Ricardo want to See a tribute band play in Concert together.

Karen, Jay, and Jenna want to see a musical together.

Ricardo, Jay, and Heather want to see a play together.

Draw a graph in which each vertex represents one of the shows, and connect vertices with an edge if at least one person wants to see both corresponding shows. Then use graph coloring to determine the fewest evenings needed so that all the friends can see the shows they would like to see, and design a schedule for the group.

To determine

**To draw:**

A graph colouring to determine the fewest evening needed so that all the friends can see the shows they would like to see, and design a schedule for the group

**Given:**

Group of friends split into different groups each evening to see various shows.

**Calculation:**

Represent the information by a graph.

Two shows that are connected by an edge cannot be showed in the same evening. Suppose

That is colour is corresponding to a time slot. And then it needs to find a colouring of the graph that uses the fewest possible numbers of colours...

Mathematical Excursions (MindTap Course List)

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