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Suppose v = 2k and consider a graph G consisting of two complete graphs, one with k vertices, x1,...xk and one with k + 1 vertices, xk,...x2k. Notice that we get a graph with exactly 2k vertices, because the two complete graphs have one vertex in common. How do the degrees of the vertices relate to v? Does the graph you get have a Hamiltonian cycle? What does this say about whether we can reduce the lower bound on the degree in Theorem 6.11?
Theorem 6.11:
If every vertex of a v-vertex simple graph G with at least three vertices has degree at least v/2, then G has a Hamiltonian cycle
One airplane is approaching an airport from the north at 149 km/hr. A second airplane approaches from the east at 246 km/hr. Find the rate at which the distance between the planes changes when the southbound plane is 27 km away from the airport an..
Find the indicated probability.
This short answer question is basically belongs to Mathematics. It is about solving logarithmic equation. The steps are shown in the solution.
Min Z = 3x1 2x1+x2 >= 6 3x1+2x2 = 4
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The relative number N of gas molecules in a container that are moving at a velocity v can be shown to be
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