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1. Let G = (V,E) be a graph for which all nodes have degree 5 and where G is 5-edge is connected.
a) Show that the vector x which is indexed by the edges E and for which xe = 1/5 for all e in E is in the Perfect Matching Polytope PPM.
b) Use your result in a) to show that G must have a perfect matching.
c) Show that b) may not be true if G is only 1-edge connected (but still has degree 5 everywhere) by giving an example of such a graph G which has no perfect matching.
Polar Coordinates Till this point we've dealt completely with the Cartesian (or Rectangular, or x-y) coordinate system. Though, as we will see, this is not all time the easie
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It is the last case that we require to take a look at. During this section we are going to look at solutions to the system, x?' = A x? Here the eigenvalues are repeated eigen
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I have some sample simulation and modeling practice questions using isee Stella software.
I need help fast with my calculus work
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