Chapter 9.1, Problem 1E

To determine

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

Explanation of Solution

Given information:

The given figure is as follows:

  

By observing the given network, four nodes are having three lines connected to it and one node with four lines connected to it.

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.

Hence, the number of odd vertices $=4$

The number of even vertices $=1$