Bipartite graphs as models of complex networks

  • Authors:
  • Jean-Loup Guillaume;Matthieu Latapy

  • Affiliations:
  • LIAFA – CNRS, Université Paris 7, Paris, France;LIAFA – CNRS, Université Paris 7, Paris, France

  • Venue:
  • CAAN'04 Proceedings of the First international conference on Combinatorial and Algorithmic Aspects of Networking
  • Year:
  • 2004

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Abstract

We propose here the first model which achieves the following challenges: it produces graphs which have the three main wanted properties (clustering, degree distribution, average distance), it is based on some real-world observations, and it is sufficiently simple to make it possible to prove its main properties. This model consists in sampling a random bipartite graph with prescribed degree distribution. Indeed, we show that any can be viewed as a bipartite graph with some specific characteristics, and that its main properties can be viewed as consequences of this underlying structure.