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The graph Cn, n ≥ 3 contains n vertices and n edges creating a cycle. For what value of n is Cn a bipartite graph? Draw the bipartite graph of Cn to give explanation for your answer.
Ans: For n = 2k, k = 2, 3, 4, ..., Cn is a bipartite graph. C6 that is drawn below which is bipartite graph.
Mean, variance, skewness and kurtosis of a probability density function f(r)that has a distribution of a passive scalar filed in a stationary isotropic turbulence for initial condi
Find out the volume of the solid obtained by rotating the region bounded by x = (y - 2) 2 and y = x around the line y = -1. Solution : We have to first get the intersection
prove that every non-trivial ingetral solution (x,y,z)of the diophantine equation Xsquare +Ysquare=Zsquare satisfies gcd(x,y)=gcd(x,z)=gcd(y,z)
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Multiply the given below and write the answer in standard form. (2 - √-100 )(1 + √-36 ) Solution If we have to multiply this out in its present form we would get, (2 -
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A lobster catcher spends $12 500 per month to maintain a lobster boat. He plans to catch an average of 20 days per month during lobster season. For each day, he must allow approx
Don't count the number of divisions. Do not use asymptotic notation, instead provide exact answers. (i) What is the maximum number of multiplications required to solve a system
Properties of the Indefinite Integral 1. ∫ k f ( x ) dx = k ∫ f ( x ) dx where k refer for any number. Thus, we can factor multiplicative constants out of indefinite integral
how do you solve for porportions?
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