Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/3831
Title: The clustering coefficient of a scale-free random graph
Authors: Eggemann, N
Noble, S D
Keywords: clustering coefficient;scale-free graph;Barabasi-Albert graph
Issue Date: 2009
Abstract: We consider a random graph process in which, at each time step, a new vertex is added with m out-neighbours, chosen with probabilities proportional to their degree plus a strictly positive constant. We show that the expectation of the clustering coefficient of the graph process is asymptotically proportional to (log n)/n. Bollobas and Riordan have previously shown that when the constant is zero, the same expectation is asymptotically proportional to ((log n)^2)/n.
URI: http://bura.brunel.ac.uk/handle/2438/3831
Appears in Collections:Mathematical Science
Dept of Mathematics Research Papers

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