Generation of complex bipartite graphs by using a preferential rewiring process

Jun Ohkubo, Kazuyuki Tanaka, Tsuyoshi Horiguchi

Research output: Contribution to journalArticlepeer-review

41 Citations (Scopus)

Abstract

It is important in computer science, sociology, and so on to investigate complex bipartite graphs from a viewpoint of statistical physics. We propose a model to generate complex bipartite graphs without growing; the bipartite graphs are assumed to have two sets of the fixed numbers of nodes and a fixed number of edges between nodes belonging to different sets of nodes. In this model, essential ingredients are a preferential rewiring process and a fitness distribution function. By using the preferential rewiring process, we confirm that a bipartite graph reaches a stationary state after a sufficiently long time has passed. We find that the obtained bipartite graph has a scale-free-like property when a suitable fitness distribution is used. It turns out that a condensation of edges takes place in the cases of certain fitness distributions.

Original languageEnglish
Article number036120
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume72
Issue number3
DOIs
Publication statusPublished - 2005 Sep

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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