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

Calculus level 2, the first question should be done using the website given...

the first question should be done using the website given (www.desmos.com/calculator )and another good example to explain using the graph ( https://www.desmos.com/calculator/ydimzr

Calculate probabilities, Iran is trying to decide whether it should pursue ...

Iran is trying to decide whether it should pursue its nuclear weapons program, and its decision will be affected in large measure by what it expects the United States to do. Your a

Function notation, Now we need to move onto something called function notat...

Now we need to move onto something called function notation.  Function notation will be utilized heavily throughout most of remaining section and so it is important to understand i

Gaussian elimination, Example1 :  Solve the subsequent system of equations....

Example1 :  Solve the subsequent system of equations. -2x 1 + x 2 - x 3 = 4 x 1 + 2x 2 + 3x 3   = 13 3x 1 + x 3 = -1 Solution The initial step is to write d

If tan2x.tan7x=1 , tan9x = (tan7x + tan2x)/(1 - tan7x*tan2x) here its give...

tan9x = (tan7x + tan2x)/(1 - tan7x*tan2x) here its given 1 - tan2x*tan7x= 0 implies tan9x = infinity since tan9x = (3tan3x - tan^3(3x))/(1 - 3tan^2 (3x)) = infinity implies

Tangent lines, Recall also which value of the derivative at a specific valu...

Recall also which value of the derivative at a specific value of t provides the slope of the tangent line to the graph of the function at that time, t. Thus, if for some time t the

Mean value theorem find out all the numbers c, Find out all the numbers c t...

Find out all the numbers c that satisfy the conclusions of the Mean Value Theorem for the given function.                                               f ( x ) = x 3 + 2 x 2 -

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