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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 5.4, Problem 22ES

Textbook Problem

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Scheduling Eight political committees must meet on the same day, but some members are on more than one committee. Thus any committees that have members in common cannot meet at the same time. An "X" in the following table indicates that the two corresponding committees share a member. Use graph coloring to determine the minimum number of meeting times that will be necessary so that all members can attend the appropriate meetings.

To determine

The minimum number of meeting times for all the members to attend the appropriate meetings.

**Given:**

The information is obtained from the table.

No of Committees | Appropriation | Budget | Finance | Judiciary | Education | Health | Foreign affairs | housing |

Appropriation | -- | X | X | X | ||||

Budget | -- | X | X | |||||

Finance | X | -- | -X | X | X | |||

Judiciary | X | X | -- | X | X | |||

Education | -- | -X | X | |||||

Health | X | X | X | -- | ||||

Foreign affairs | X | X | X | -- | ||||

Housing | X | X | X | X | -- |

**Calculation:**

Each club is represented by a vertex and an edge which connects the two vertices...

Mathematical Excursions (MindTap Course List)

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