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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 5.1, Problem 31ES

Textbook Problem

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Degrees of Separation In the graph below, an edge connects two vertices if the corresponding people have communicated by text message. Here we define the *degree of separation* between two individuals to be the minimum number of steps required to link one person to another through text message communications. This is equivalent to the (minimum) number of edges in a path connecting the corresponding vertices. For example, Karina and Lois have a degree of separation of 2.

a. What is the degree of separation between Morgan and Maria?

b. What is the degree of separation between Wayne and Alexander?

c. Who has the largest degree of separation from Alyssa?

To determine

**(a)**

To determine the degree of separation between Morgan and Maria.

**Given information:**

Given, in the graph below, an edge connects two vertices if the corresponding people have communicated by text message. The degree of separation between two individuals is the minimum number of steps required to link one person to another through text message communications which is same as the minimum number of edges in a path connecting the corresponding vertices.

To determine

**(b)**

To determine the degree of separation between Wayne and Alexander.

To determine

**(c)**

To determine the largest degree of separation from Alyssa.

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