Suggested languages for you:

Americas

Europe

Q3.

Expert-verified
Found in: Page 332

### Geometry

Book edition Student Edition
Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Pages 227 pages
ISBN 9780395977279

# Find the number of odd and even vertices in each network. Imagine travelling each network to see if it can be traced without backtracking.

The number of odd and even vertices is $2$ and $6.$

See the step by step solution

## Step 1. Given information:

The given figure is as follows:

## Step 2. Concept use.

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.

## Step 3. Applying the concept.

In the given network, by observing, the total number of vertices $=8.$

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 $=2.$

The number of even vertices $=6.$