See solution: In Exercises 7 through 20 you are given information about a network

Chapter 7, Problem 17

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QUESTION:

In Exercises 7 through 20 you are given information about a network. Choose one of the following three options: (A) the network is definitely a tree; (B) the network is definitely not a tree; (C) the network may or may not be a tree (more information is needed). Accompany your answer with a brief explanation for your choice.The network has five vertices, no loops, and no multipleedges, and has one vertex of degree 4 and four vertices ofdegree 1.

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QUESTION:

In Exercises 7 through 20 you are given information about a network. Choose one of the following three options: (A) the network is definitely a tree; (B) the network is definitely not a tree; (C) the network may or may not be a tree (more information is needed). Accompany your answer with a brief explanation for your choice.The network has five vertices, no loops, and no multipleedges, and has one vertex of degree 4 and four vertices ofdegree 1.

ANSWER:

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We are given that

The network has five vertices, no loops, and no multiple edges, and has one vertex of degree   and four vertices of degree

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