Chapter 7, Problem 11E

In Exercises 11 through 24 you are given information about a network. Choose one of the following three options: $\left(\text{A}\right)$ the network is definitely a tree; (B) the network is definitely not a tree; $\left(\text{C}\right)$ 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 $15$ vertices and $16$ edges.