A program generating homogeneous random graphs with given weights

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)=Πi=1N p(qi), where p(q) is an arbitrary user function and qi 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).

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