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arXiv 2002-06-09 0 views

How to construct a correlated net

Dorogovtsev, S. N. · Mendes, J. F. F. · Samukhin, A. N.

Original · EN

(a) We propose a ``static'' construction procedure for random networks with given correlations of the degrees of the nearest-neighbor vertices. This is an equilibrium graph, maximally random under the constraint that its degree-degree distribution is fixed. (b) We generalize the notion of preferential linking and introduce a new category, pair preference and a pair preference function for the attaching of edges to pairs of vertices. This allows dynamically generate equilibrium correlated networks.

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