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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.
Write the next two terms √12, √27, √48, √75................... Ans: next two terms √108 , √147 AP is 2 √3 , 3 √3 , 4 √3 , 5 √3 , 6 √3 , 7 √3 ......
01010011 01100101 01101101 01110000 01100101 01110010 00100000 01000110 01101001 00100001
two fathers and two sons went fishing . they caught only 3 fish and divided them equally among themselves without cutting. is it possible? how?
STRATEGY It refers to a total pattern of choices employed by any player. Strategy could be pure or a mixed one In a pure strategy, player X will play one row all of the
how many times In a 12 hour period will he numbers add up to 6? (hint 3:00 is one answer0
describe phases of operations research study ?
Forecasting By Using Least Squares Data have been kept of sales over the last seven years Year 1 2 3 4 5 6
evaluate sin 15
How do you find the perimeter of an irregular shape using Pythagorean theorem?
1+3+5+7+9+11+13+15+17+19
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