Midterm2010_solution

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Unformatted text preview: s‐Renyi model an edge appears with probability p and is absent with  probability of 1‐p.  We say that a property P has a tipping point at q if:  When p < q the probability that the network obeys P is close to zero.  When p > q the probability that the network obeys P is close to one.  b)   When p is about 1/N we start seeing a large component of size bigger than N/2.  When p is about log(N)/N we start seeing a connected network.  When p is about 2/square‐root(N) we start seeing a diameter two network.        Grading policy:  ii. Ill description of tipping phenomena  [up to ‐4 points].  iii. Wrong order of tipping properties [‐2 points each].  iv. Wrong property/missing property description [up to ‐2 point...
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## This document was uploaded on 01/24/2014.

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