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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 5.4, Problem 4ES

Textbook Problem

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Map Coloring A fictional map of the countries of a continent is given. Represent the map by a graph and find a coloring of the graph that uses the fewest possible number of colors. Then color the map according to the graph coloring you found.

To determine

The fewest possible number of colours to colour the map using graph colouring.

**Given information:**

A fictional map of the countries of the continent is

Name the given graph as follows:

The neighbouring countries for each country are:

- A: B, C, I, H, G
- B: A, C
- C: A, B, I, D
- D: C, I, J
- E:F, K
- F: E, G, K
- G: F, K, L, H, A
- H: G, K, L, I, A
- I: A, C, D, J, L, M, H
- J: D, I, M
- K: E, F, G, L
- L: G, K, H, I, M
- M: L, I, J The graph is given by

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