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Let G be k-critical graph with respect to vertex-arboricity (k>=3). Prove that for each vertex v of G, the graph G-v is not (k-1)-critical with respect to vertex-arboricity.
To check whether the representation of input elements does not affect the running time of an algorithm
Show that ~ is an equivalence on M and if a* deontes the equivalence class of a, let M* = {a*| a belongs to M} denote the set of all equivalence classes. Show that a*b* = (ab)* is a well-defined operation on M* deontes.
Write the equation of the line passing through each of the given points with the indicated slope. Give your results in slope-intercept form, where possible. (1, -4), m = -4
Let f : X -> Y, ( X and Y are topological spaces)be homeomorphism, prove that it establishes one-to-one correspondence between Borel sets in X and Y.
What is the probability of getting the indicated result
The same experiment as in part (a) above is done with the 7 letters from CHICAGO. Find the probability that the result spells CHICAGO. Find probability that the result spells NEW YORK
At a 5 percent level of significance, test to see if there is a significant difference in the average amount spent at the two schools. Write your conclusion?
Please explain how to create a function whose graph has the indicated characteristics for each of a and b
What is degree of polynomial and is it a monomial, binomial or trinomial? Find the quotient and remainder
At a certain time, the temp is maintained constant, the P=100ln/in^2 and is increasing at 4 lb/in ^2. At what rate is the volume changing when it is 60 in^3?
The problem that I'm having is that there is a nonconstant factor of (x^2+y^2+z^2)^(-1/2) appearing on the RHS of this equation, making it non-trivial to solve.
Let S a subset of R be compact. Prove that every infinite subset of S has an accumulation point in S
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