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A program generating homogeneous random graphs with given weights

arXiv:cond-mat/0506330 · doi:10.1016/j.cpc.2005.07.010

Abstract

We present a program package which generates homogeneous random graphs with probabilities prescribed by the user. The statistical weight of a labeled graph $α$ is given in the form $W(α)=\prod_{i=1}^N p(q_i)$, where $p(q)$ is an arbitrary user function and $q_i$ are the degrees of the graph nodes. The program can be used to generate two types of graphs (simple graphs and pseudo-graphs) from three types of ensembles (micro-canonical, canonical and grand-canonical).

19 pages, 3 figures