Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 9: Q2. (page 332)

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

Short Answer

Expert verified

The number of odd and even vertices is 0 and 6.

Step by step solution

01

Step 1. Given information:

The given figure is as follows:

02

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.

03

Step 3.  Applying the concept.    

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.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In exercises 8-13 find the angle or the arc named.

EHF⏜

In exercises 8-13 find the angle or the arc named.

∠GQF

a. Given:WZ¯is a diameter of ⊙o;OX¯∥ZY¯

Prove: WX⏜≅XY⏜.

(Hint: draw OY⏜.)

The diagram below shows tangent lines and circles. Find PD.

Discover and prove a theorem about two lines tangent to a circle at the endpoints of a diameter.
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free