Unformatted text preview: UCINET: http://www.analytictech.com/ucinet/ igraph: http://igraph.sourceforge.net/ 2. Answer the following questions: a) At what connection probability you expect the existence of (i) a tree with six nodes, (ii) a cycle with six nodes, and (iii) a completely connected subgraph with six nodes in a large ( N →∞ ) random graph? b) A random graph has a connected component that unites a large fraction of its nodes. What is our expectation for the graph’s average degree? c) A random graph has the following degree distribution: P ( k ) = C k 11 p 1 3 P k p 2 3 P 11k (1) What is the number of nodes and the connection probability? What is the average degree of this graph? 1...
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