Explanation Graph: A graph is a set of points, called vertices, and lines, called edges, that join pairs of vertices. Vertex: 1. The points in the graph are called as vertex. 2. The point of intersection of a pair of edges is not a vertex. 3. A vertex of a graph is odd if it is the endpoint of an odd number of edges. 4. A vertex is even if it is the endpoint of an even number of edges. Edge: The line joining a pair of vertices is called as edge. For example, we can refer a line joining the vertices A and B as edge AB or edge BA. Coloring the graph: 1. Represent each country by a vertex. 2. If two countries share a common border, we draw an edge between the corresponding vertices. 3. Form a graph. 4. Color the vertices with four or fewer colors. 5. The two vertices of the same edge should not receive the same color. Calculation: The map given to color is,

6th Edition

ISBN: 9780134434681

Author: Tom Pirnot

Publisher: PEARSON

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Chapter 4.CT, Problem 6CT

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Devise a way of coloring the graph using minimal number of colors.

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Chapter 4 Solutions

Mathematics All Around (6th Edition)

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Devise a way of coloring the graph using minimal number of colors.

Solution Summary: The author explains graphs are a set of points and lines that join pairs of vertices. Vertex is odd if it is the endpoint of an odd number of edges.

To find: Devise a way of coloring the graph using minimal number of colors.

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Chapter 4 Solutions

To find:

Devise a way of coloring the graph using minimal number of colors.