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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.
Examples of logarithms: log 2 8 = 3 since 8 = 2 3 log 10 0.01 = -2 since 0.01 = 10
why this kolavari di?
A medical survey was conducted in order to establish the proportion of the population which was infected along with cancer. The results indicated that 40 percent of the population
Types of distribution Population distribution This refers to the distribution of the individual values of population. This mean it is denoted by 'µ' Sample distributi
A photographer decides to decrease a picture she took in sequence to fit it within a certain frame. She requires the picture to be one-third of the area of the original. If the ori
Q. What are Complex numbers? Ans. Complex numbers are numbers of the form a + bi, where a and b are real numbers and i is a special number called the imaginary unit, which
scope of operation research and its limitations
give an example of a relation R that is transitive while inverse of R is not
Q. There are 10 students on the school debating team. How many different ways can the team choose a president and a secretary? Ans. There are 10 choices for the president
The first particular case of first order differential equations which we will seem is the linear first order differential equation. In this section, unlike many of the first order
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