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Unformatted text preview: (a) For each pair of nodes, throw with a die, and connect them if the number on the die is 1. Describe the graph you obtained. Is it connected or not? What is the average degree and the degree distribution? Are there any cycles? (b) Now connect node pairs if the number is 1 or 2. How is the graph dierent from the previous case? (c) How many edges do you expect a graph with N nodes will have if they are accepted by throwing with a die (in other words, they are accepted with probability p = 1 / 6)? (d) Extra credit question: for the graph in point c, what is your expecta-tion for the shape of the curve determined by the degree distribution when N is large? E.g. will it be decreasing, increasing, have a peak, have a valley? 1...
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This document was uploaded on 03/01/2011.
- Fall '09