Chapter 9.1, Problem 2E

To determine

To find: the number of odd and even vertices in the given network.

Explanation of Solution

Given information:

The given figure is as follows:

  

In the given network, total number of vertices $=6$ .

A vertex with odd number of edges attached to it is called odd vertex and a vertex with even number of edges attached to it is called even vertex.

By observing the network, its clear that all nodes are having even number of edges attached to it.

Hence, the number of odd vertices $=0$

The number of even vertices $=6$