Positive integer, Mathematics

Assignment Help:

(a)   Specify that  the sum of  the degrees  of all vertices of a graph  is double the number of edges  in  the graph.                           

(b)  Let G be a non directed graph with L2 edges. If G has 6 vertices every of degree 3 and the rest   have degree less than 3, what is the minimum number of vertices G can have?                                                                                        

(c) Explain the truth value for each of the following statements:                     

(i) 4 + 3 = 6 AND 3 + 3 = 6
(ii) 5 + 3 = 8 OR 3 + 1 = 5

(d) Let f(n)= 5 f(n/ 2) + 3 and f(1) = 7. Find f(2k) where k is a positive integer. Also estimate f(n)   if f is an increasing function.                      

(e)  Show the sufficient conditions of Dirac and Ore for a graph to be  Hamiltonian. Give an instance of  a graph  that  does not  satisfy Dirac's condition, but satisfies  Ore's condition.                                                                                    

(f) Measure -25 + 75 using 2's complement.         


Related Discussions:- Positive integer

Lesson 3.5 skills practice, Noah is renewing a magazine subscription. one p...

Noah is renewing a magazine subscription. one package offers to renew the magazine for 3 years for 26$. A second package offers to renew the magazine for 5 years for $38

Pair of straight lines, how to solve the problems? methods to solve the que...

how to solve the problems? methods to solve the question of joint lines

Leptokurtic-measure of central tendency, Leptokurtic a) A frequency di...

Leptokurtic a) A frequency distribution which is lepkurtic has normally a higher peak than that of the general distribution. The coefficient of kurtosis while determined will

Marketing plan and its parts, can you offer help with an entry level market...

can you offer help with an entry level marketing class and with developing charts and tables for the final marketing plan?

3-d geometry, Q) In 3D-geometry give + and - signs for x,y,z, in all eight ...

Q) In 3D-geometry give + and - signs for x,y,z, in all eight octants Ans) There is no specific hard rule for numbering the octants. So, it makes no real sense to ask which octan

Trig functions:, Trig Functions: The intent of this section is introducing...

Trig Functions: The intent of this section is introducing you of some of the more important (from a Calculus view point...) topics from a trig class.  One of the most significant

How we solve polynomial equations using factoring, How we Solve Polynomial ...

How we Solve Polynomial Equations Using Factoring ? A polynomial equation is an equation that has polynomials on both sides. Polynomial equations can often be solved by putti

Simpson rule - approximating definite integrals, Simpson's Rule - Approxima...

Simpson's Rule - Approximating Definite Integrals This is the last method we're going to take a look at and in this case we will once again divide up the interval [a, b] int

Classification-developing pre-number concepts, Classification :  As you kn...

Classification :  As you know, classification (also called grouping) involves putting together things that have some characteristic in common. We can say that a child is able to c

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