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

Quadric surfaces - three dimensional spaces, Quadric Surfaces Earlier w...

Quadric Surfaces Earlier we have looked at lines and planes in three dimensions (or R 3 ) and when these are used fairly heavily at times in a Calculus class there are several

Example on discrete mathematics, Suppose that at some future time every tel...

Suppose that at some future time every telephone in the world is assigned a number that contains a country code, 1 to 3 digits long, that is, of the form X, XX , XXX or followed

Calculate the volume of rectangular piece of cardboard, 1. A rectangular pi...

1. A rectangular piece of cardboard measuring 15 inches by 24 inches is to be made into a box with an open top by cutting equal size squares from each comer and folding up the side

Find the maximum and minimum brightness values, Variable stars are ones who...

Variable stars are ones whose brightness varies periodically. One of the most visible is R Leonis; its brightness is modelled by the function where t is measured in days.

Sequence, how to find the indicated term?

how to find the indicated term?

Rationalize the denominator, Rationalize the denominator for following.  Su...

Rationalize the denominator for following.  Suppose that x is positive. Solution We'll have to start this one off along with first using the third property of radica

Share and dividend, i want to get market value of 10 popular shares of all ...

i want to get market value of 10 popular shares of all working days in a week

Give the introduction about graphing, Give the  introduction about Graphin...

Give the  introduction about Graphing? Somebody tells you that x = 5 and y = 3. "What does it all mean?!" you shout. Well here's a picture: This picture is what's call

Piecewise, x=±4, if -2 = y =0 x=±2, if -2 = y = 0

x=±4, if -2 = y =0 x=±2, if -2 = y = 0

Illustration of simpson rule, By using n = 4 and all three rules to approxi...

By using n = 4 and all three rules to approximate the value of the following integral. Solution Very firstly, for reference purposes, Maple provides the following valu

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