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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.
Select a division or area of local, state, or federal government related to aviation and interview individuals working there. From the interview process, determine: the functions carried out by the division/office
A drop of oil measuring 0.20 cubic centimeter is spilled onto a lake. The oil spreads out into a circular shape having a diameter of 23 cm. Approximate the thickness of the film.
perform a literature survey on self-adjusting data structures. you may start with a recent paper and fully understand
During 2014 (the third year of the equipment"s life), the company"s engineers reconsidered their expectations, and estimated that the equipment"s useful life would probably be 7 years (in total) instead of 6 years. The estimated salvage value was ..
Prove that there exist real numbers which are not algebraic.
21. Niketa is the manager of the student center cafeteria. She is introducing pizza as a menu item. The pizza is ordered frozen from a local pizza establishment and baked at the cafeteria. Niketa anticipates a weekly demand of 10 pizzas. The cafe..
Exactly one of the three contestants will win a game show. The probability that Terry wins 0.25 and the probability that Chris wins is 0.65. What is the probability that Toni wins?
If a string wound around a fixed circle is unwound while held taut in the plane of the circle, its end P traces an involute of the circle. the circle in question is x^2+y^2=1 and the tracing point starts at (1,0).
A page for a journal contains 80 square inches of type written words. The height of a page is twice the width. If the Margin around the type is to be 2 inches uniformly, what are the dimensions of a page?
What is the length of the prism
what is a tesselate?
A box with a square base of side x is three times higher than it is wide. Express the volume V of the box as a function of x.
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