Simulation of micro-, grand-, and canonical ensembles of complex networks

  • Authors:

  • Christoly Biely;Stefan Thurner

  • Affiliations:

  • Complex Systems Research Group, HNO, Medical University of Vienna, Vienna, Austria;Complex Systems Research Group, HNO, Medical University of Vienna, Vienna, Austria

  • Venue:
  • ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part III
  • Year:
  • 2006

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Abstract

The analysis of statistical ensembles of networks by means of simulation is an important possibility to explore networks which emerge by optimization of some ’fitness’-function. In this paper, we compare the situations of the micro-, grand- and canonical ensemble based on their respective partition functions. We present results for a specific, recently introduced Hamiltonian. Interestingly, for all three ensembles we find scale-free networks with ’complex’ topology for a wide range of parameters. We further show results of some topological measures depending on energy and temperature.