Find the number of vertices in graph, Mathematics

Assignment Help:

A graph G has 21 Edges, 3 vertices of degree 4 and other vertices are of degree 3. Find the number of vertices in G.  

Ans: It is specified that graph G has 21 edges, so total degree of graph is 42. It is as well given that three vertices are of degree 4 and other vertices are degree 3. Assume number of vertices of degree 3 is y. After that    

3y + 4x3 = 42 

⇒ y = (42 - 12) / 3 = 10.


Related Discussions:- Find the number of vertices in graph

Statistics, How do I choose a distribution test for a sample size of 60? Pr...

How do I choose a distribution test for a sample size of 60? Probability of rolling a 4 on a six sided die.

Explain the common forms of linear equations, Explain the Common Forms of L...

Explain the Common Forms of Linear Equations ? An equation whose graph is a line is called a linear equation. Here are listed some special forms of linear equations. Why should

Find integer if consecutive even integers is the number 126, The sum of two...

The sum of two consecutive even integers is the number 126. What are the integers? Two consecutive even integers are numbers in sequence, such as 4 and 6 or -30 and -32, that a

How long will it take to dispense 330 gallons, A large pipe dispenses 750 g...

A large pipe dispenses 750 gallons of water in 50 seconds. At this rate, how long will it take to dispense 330 gallons? Find out the number of gallons per second by dividing 75

Draw a graph model with the adjacency matrix, QUESTION (a) Draw a graph...

QUESTION (a) Draw a graph model with the following adjacency matrix.                         (b) The diagram below shows different cities labelled a to g and z. Also sh

Free - damped vibrations, We are until now going to suppose that there will...

We are until now going to suppose that there will be no external forces acting on the system, along with the exception of damping obviously. Under this case the differential equati

Graph and algebraic methods , To answer each question, use the function t(r...

To answer each question, use the function t(r) = d , where t is the time in hours, d is the distance in miles, and r is the rate in miles per hour. a. Sydney drives 10 mi at a c

Numerical analysis, Please,I Want to know and study for stability on predi...

Please,I Want to know and study for stability on predictor -corrector for numerical integration method

Development is continuously going on-- learning mathematics, DEVELOPMENT IS...

DEVELOPMENT IS CONTINUOUSLY GOING ON :  Think of any two children around you. Would you say that they are alike? Do they learn the same things the same way? It is very unlikely be

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd