Excursions In Modern Mathematics Plus Mylab Math -- Access Card Package (9th Edition)
Excursions In Modern Mathematics Plus Mylab Math -- Access Card Package (9th Edition)
9th Edition
ISBN: 9780134442228
Author: Tannenbaum
Publisher: PEARSON
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Textbook Question
Chapter 7, Problem 1E

A computer lab has seven computers labeled A through G. The connections between computers are as follows:

A is connected to D and G

B is connected to C , E , and F

C is connected to B , E , and F

D is connected to A and G

E is connected to B and C

F is connected to B and C

G is connected to A and D

Is the lab set-up a computer network? Explain why or why not.

Expert Solution & Answer
Check Mark
To determine

To check:

Whether the lab set-up is a computer network or not.

Answer to Problem 1E

Solution:

The lab set-up is not a computer network.

Explanation of Solution

Given:

A computer lab has seven computers labeled A through G. The connections between computers are as follows:

A is connected to D and G

B is connected to C, E, and F

C is connected to B, E, and F

D is connected to A and G

E is connected to B and C

F is connected to B and C

G is connected to A and D

Approach:

A network is a connected graph in which there is a path going from one vertex to any other vertex.

Calculation:

Draw a graph of the connections between the computers. Connect computer A to computers D and G.

Excursions In Modern Mathematics Plus Mylab Math -- Access Card Package (9th Edition), Chapter 7, Problem 1E , additional homework tip  1

Figure (1)

Connect computer D to computer G.

Excursions In Modern Mathematics Plus Mylab Math -- Access Card Package (9th Edition), Chapter 7, Problem 1E , additional homework tip  2

Figure (2)

Draw nodes for computers B, C, E, and F, and using the given information, draw the connections between them.

Excursions In Modern Mathematics Plus Mylab Math -- Access Card Package (9th Edition), Chapter 7, Problem 1E , additional homework tip  3

Figure (3)

By combining both, the following graph is obtained.

Excursions In Modern Mathematics Plus Mylab Math -- Access Card Package (9th Edition), Chapter 7, Problem 1E , additional homework tip  4

Figure (4)

From figure (4), there are two separate components in the graph and there is no path from one component to the other. Therefore the lab set-up is not a computer network.

Conclusion:

Thus, the lab set-up is not a computer network.

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Excursions In Modern Mathematics Plus Mylab Math -- Access Card Package (9th Edition)

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