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A computer lab has seven computers labeled A through G. The connections between computers are as follows:
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Is the lab set-up a computer network? Explain why or why not.
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:
•
•
•
•
•
•
•
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
Figure (1)
Connect computer
Figure (2)
Draw nodes for computers
Figure (3)
By combining both, the following graph is obtained.
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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