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We form the Hamiltonian closure of a graph by constructing a sequence of graphs Gi with G0 = G, and Gi formed from Gi-1 by adding an edge between two nonadjacent vertices whose degree sum is at least nv. When we reach a Gi to which we cannot add such an edge, we call it a Hamiltonian Closure of G. Prove that a Hamiltonian Closure of a simple graph G is Hamiltonian if and only if G is.
Suppose that a straight line is given by L(t) = (1+t, 2+t, 3-t), - ∞
The Wilcox fam is considering buying a dog. They have established several criteria for the family dog; It must be one of the breeds listed in the table, must not shed, must be less than 16 in tall, and must be good with children.
the cost of transporting a large truck load was $35 dollars ,that of a small one was $25. what is the mos economical way of shipping the 150 machines?
Choose an organization that does marketing. Use the guidelines below as you make your selection. Make it easy on yourself and choose an organization you're interested in, and for which you can observe the marketing efforts.
questionnbspall pupils take mathematics m 18 take chemistry c 17 take biology b and 24 take physics p of those taking 3
(a) Find the critical points, if any, of the following function on the given interval. (b) Determine the absolute extreme values of f on the given interval.
A 10-year endowment policy on (40) has death benefits of 900, payable at the end of the year of death, should this occur within 10 years.
conversion of angle measures from degrees to radians.the following chart shows some common angles with their degrees
Let f be a function f . Z → Z x Z such that f(n) = (2n, n + 3). Verify whether this function is 1-1 and whether it is onto and let f be a function f . R3 → R such that f(x, y, z) = xyz. Verify whether this function is 1-1 and whether it is onto.
Discuss the implications of the Sarbanes Oxley Act on the accounting profession. Imagine that Congress was concerned about the Act and has asked you to provide your professional accounting opinion on the following issues.
A rescue Helicopter at an altitude of 200 m spots two lost girls at the same time. Xavia is at an angle of depression of 13 degree. Yelena is at an angle of depression of 13 degree.
If you deposit $1,000 into an account that pays 4% interest compounded continuously, how long will it take the account to grow to $2,000?
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