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

Differentiate inverse tangent functions, Differentiate the following functi...

Differentiate the following functions. (a) f (t ) = 4 cos -1 (t ) -10 tan -1 (t ) (b)  y = √z sin -1 ( z ) Solution (a) Not much to carry out with this one other

Elli[ital paths of celestial bodies, Create a detailed diagram to describe ...

Create a detailed diagram to describe the equation of an ellipse in terms of it’s eccentricity and indicate how the foci and major and minor semi-axes are involved. Y

Critical point of exponential functions and trig functions, Critical point ...

Critical point of exponential functions and trig functions, Let's see some examples that don't just involve powers of x. Example:  find out all the critical points for the

C programming, Write a program to find the area under the curve y = f(x) be...

Write a program to find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. The area under a curve between two points can b

Area of a circle, How do you find the area of a circle given the diameter?

How do you find the area of a circle given the diameter?

Calculate the average return, A department store faces a decision for a sea...

A department store faces a decision for a seasonal product for which demand can be high, medium or low. The purchaser can order 1, 2 or 3 lots of this product before the season beg

Probability, One coin is tossed thrice. what will be the probability of get...

One coin is tossed thrice. what will be the probability of getting neither 3 heads nor 3 tails

Using substitution solving polynomial equations, Using Substitution Solving...

Using Substitution Solving Polynomial Equations ? Solve : (x 3 + 4) 2 - 15 (x 3 + 4) + 36 = 0. You might be tempted to multiply everything out and factor. However, there

Probability, Mike sells on the average 15 newspapers per week (Monday – Fri...

Mike sells on the average 15 newspapers per week (Monday – Friday). Find the probability that 2.1 In a given week he will sell all the newspapers [7] 2.2 In a given day he will

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