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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.
The sum of the digit number is 7. If the digits are reversed , the number formed is less than the original number. find the number
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#questiThe net profit in an appliance department for the spring /sumeer was $20,000 which represented 2% of net sales. Operating expenses total $480,000 find dollar amount of gross
you are in charge of making punch for an upcoming dance. the punch recipe makes 5 cups of punch by making 3 cups of cranberry juice with 2 cups of apple juice. What is the ratio of
Q. Show basic Trigonometric Functions? Ans. There are six trigonometric functions and they can be defined using a right angle triangle. We first label each side according
Q4. Assume that the distance that a car runs on one liter of petrol varies inversely as the square of the speed at which it is driven. It gives a run of 25km per liter at a speed o
The following relation is not a function. {(6,10) ( -7, 3) (0, 4) (6, -4)} Solution Don't worry regarding where this relation came from. It is only on
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I need help with my homework, I am to the edge right now with this w=5pq/2
How we find locus of the middle points of chord of an ellipse which are drawn through the positive end of the minor axes
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