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

Tower of hanoi problem, a) Write  a summary  on  Tower  of  Hanoi  Probl...

a) Write  a summary  on  Tower  of  Hanoi  Problem.  How  can  it  be solved using  recursion ?                  b) Amit goes to a grocery shop and purchases grocery for Rs. 23.

Math, how to compare fractions

how to compare fractions

Pemdas, what is the answer using pemdas (32 divided into 4)+3

what is the answer using pemdas (32 divided into 4)+3

Equation, how do you slove 4u-5=2u-13

how do you slove 4u-5=2u-13

Mass marketing, is mass marketing completely dead?

is mass marketing completely dead?

Congruences, Suppose m be a positive integer, then the two integer a and b ...

Suppose m be a positive integer, then the two integer a and b called congurent modulo m ' if a - b is divisible by m i.e.  a - b = m where is an positive integer. The congru

Triple integrals, Consider a circular disc of radius 1 and thickness 1 whic...

Consider a circular disc of radius 1 and thickness 1 which has a uniform density 10 ?(x, y, z) = 1. (a) Find the moment of inertia of this disc about its central axis (that is, the

Ordinary and partial differential equations, A differential equation is ter...

A differential equation is termed as an ordinary differential equation, abbreviated through odes, if this has ordinary derivatives in it. Similarly, a differential equation is term

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