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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.
if ab=25 . a(5,x)and b(2,5) . find x.
Are there more rational numbers than integers?#
DEVELOPING AN UNDERSTANDING OF SUBTRACTION : The process of subtraction is the reverse of that of addition. Adding more to a collection to make it bigger is just the reverse
6x-4+3x+6 -2a-8b-5a+10b
A MANUFACTURING UNIT IS INTERESTED IN DEVELOPING A BENEFIT SEGMENTATION OF THE CAMERA MARKET. SUGGEST SOME MAJOR BENEFIT SEGMENT WITH MARKET TARGETING STRATEGIES?
What is the greater of two consecutive negative integers whose product is 132? Let x = the lesser integer and let x + 1 = the greater integer. Because product is a key word for
Solve the Extraneous Solutions ? You're worst enemy (aside from arithmetic mistakes), while you're trying to solve a rational equation, is forgetting to check for extraneous so
#subtraction of binary numbers methods
If the difference among the squares of two consecutive integers is 15 find out the larger integer. Let x = the lesser integer and let x + 1 = the greater integer. The sentence,
A body is constrained to move in a path y = 1+ x^2 and its motion is resisted by friction. The co-efficient of friction is 0.3. The body is acted on by a force F directed towards t
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