How to construct a correlated net

Details How to construct a correlated net How to construct a correlated net

2002-06-09

arxiv.org/abs/cond-mat/0206131v1

Physics

Condensed Matter

Statistical Mechanics

2 pages, a brief communication

Scientific paper

(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, {\em 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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