Solution Found!
See answer: In Exercises 7 through 20 you are given information about a network. Choose
Chapter 7, Problem 16(choose chapter or problem)
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 every vertex has degree 2.
Questions & Answers
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 every vertex has degree 2.
ANSWER:Step 1 of 2
The network has five vertices, no loops, and no multiple edges, and every vertex has degree 2.
The number of edges of the network is the ratio of the sum of all degrees and 2.
Since the network has five vertices and each vertex has degree 2, therefore, the sum of all vertices is
Therefore, the number of edges is 