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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.
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
how to find equations of circles when given equations of centres on which it lies?
Exercise 12c question number 24
lbl 2 lcl 2 sin 2 θ
Two ships are sailing in the sea on either side of a lighthouse; the angles of depression of two ships as observed from the top of the lighthouse are 600 and 450 re
i need help with exponents and how to add them
Example of Regression Equation An investment company advertised the sale of pieces of land at different prices. The given table shows the pieces of land their costs and acreag
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.
q5
Twins Olivia and Chelsea and their friend Rylee were celebrating their fourteenth birthdays with a party at the beach. The first fun activity was water games. As Nicole arrived, sh
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