Explanation Definition: A graph consists of finite set of points and lines where the lines join the pair of points. Points are called vertices. Lines are called edges. Graph Model: The graph model can be drawn if it satisfies the two features: 1. A set of objects 2. A relationship among the objects Map Coloring: Another application of graph theory is four-color problem. Four-Color Problem: Coloring the map using only four colors is called four-color problem where any two regions sharing a common border receive different colors. Given: Step1: First we have to trace the model graph for the given map. Since it satisfies the condition of graph model we can draw the graph for the given map. We can point the countries as the vertices and we can join the vertices through the edges only for the countries sharing the common border. Step2: Next, by using the four-color problem we can color the graph In that graph first we have find the vertex which has the highest degree and then we have to color it. So here the highest degree vertex is C and its degree is 5. And the second highest degree is 4 and the vertices having the degree 4 are A, D, L, J, and K. The remaining vertices B, F, G, E, H, I and M are the vertices of degree 3...

MYLAB MATH WITH PEARSON ETEXT FOR MATHEM

6th Edition

ISBN: 9780136470137

Author: Pirnot

Publisher: PEARSON

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Chapter 4.CR, Problem 6CR

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The model graph for the given map of countries A, B, C, …., M and devise a way of coloring the map using a minimal number of colors.

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Chapter 4.CR, Problem 5CR

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Chapter 4 Solutions

MYLAB MATH WITH PEARSON ETEXT FOR MATHEM

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The model graph for the given map of countries A, B, C, …., M and devise a way of coloring the map using a minimal number of colors.

To find: The model graph for the given map of countries A, B, C, …., M and devise a way of coloring the map using a minimal number of colors.

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Chapter 4 Solutions

To find:

The model graph for the given map of countries A, B, C, …., M and devise a way of coloring the map using a minimal number of colors.