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(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.
A Stone is dropped from the top of the tower and travel 24.5 m in last second of its journey. the height of the tower is ...?
I have some sample simulation and modeling practice questions using isee Stella software.
Maths For Fun : Often, when I have time on my hands, I try to solve interesting mathematical questions of the following kind. Sometimes my friends and I create the problems, and
The form x2 - bx + c ? This tutorial will help you factor quadratics that look something like this: x 2 -7x + 12 (No leading coefficient; negative middle coefficient; p
Submit solutions for all of the following questions. Remember to set out your answers showing all steps completely and explicitly justify your steps. 1. Provide, in no more than
cos 8
Solve the following pairs of simultaneous equations by elimination method i.2x+y=10 ii. 3x+y=6 3x-2y=1 5x+y=8 solve the following simult
Averigua que nùmero de cinco cifras se esconde detras de las pistas dadas La cifra de las unidades es par, mayor que 6 y coincide con las decenas de mil. La cifra de las decenas se
What is Chain Based Index Numbers? A chain based index is one whereas the index is calculated every year by using the previous year as the base year. This kind of index measur
Assessment task This Term Assessment will require you assess the effectiveness of your current lunch budget and prepare a proposal to your caregiver to seek permission to be given
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