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Dresden 2006 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 12: Statistical Physics of Complex Networks II

DY 12.4: Vortrag

Montag, 27. März 2006, 11:45–12:00, H\"UL 186

A Program Generating Homogeneous Random Graphs with Given Weights — •Leszek Bogacz1, Zdzisław Burda2, Wolfhard Janke1, and Bartłomiej Wacław21Institut für Theoretische Physik, Universität Leipzig, Augustusplatz 10/11, 04109 Leipzig, Germany — 2Institute of Physics, Jagellonian University, Reymonta 4, 30-059 Krakow, Poland

We present a program package [1] 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)=∏i=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).

Its functionality will be explained in the talk with a few simple but characteristic examples.

[1] L. Bogacz, Z. Burda, W. Janke, and B. Wacław, cond-mat/0506330, to appear in Comp. Phys. Comm. (in print).

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