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|Title:||The clustering coefficient of a scale-free random graph|
Noble, S D
|Keywords:||clustering coefficient;scale-free graph;Barabasi-Albert graph|
|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.|
|Appears in Collections:||Mathematical Science|
Dept of Mathematics Research Papers
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