MISC

2008年8月8日

Multicommunity weight-driven bipartite network model

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
  • H. Fan
  • ,
  • Z. Wang
  • ,
  • T. Ohnishi
  • ,
  • H. Saito
  • ,
  • K. Aihara

78
2
開始ページ
026103
終了ページ
記述言語
英語
掲載種別
DOI
10.1103/PhysRevE.78.026103

Community structure and rewiring phenomena exist in many complex networks, particularly in bipartite networks. We construct a model for the degree distribution of the rewiring problem in a multicommunity weight-driven bipartite network (MCWBN). The network consists of many interconnected communities, each of which holds a bipartite graph. The bipartite graph consists of two sets of nodes. We name each node in one set a "producer" and each node in the other set a "consumer." A weight value matrix defining the trade barrier between any two communities is used to characterize the structure of the communities, which ensures the higher preferential attachment probability in intracommunity than in intercommunity. The size of one producer is defined as the number of consumers connected to it. We find that the nonlinear dynamics of the scale of production, or the total size of all producers in each community is dependent only on the initial scale of production in each community, and independent of the distribution of the producer size. Furthermore, if the nonlinear system of the scale of production in each community is at an equilibrium state, the distribution of the producer size in each community of the MCWBN model is equivalent to that in a one-community model. © 2008 The American Physical Society.

リンク情報
DOI
https://doi.org/10.1103/PhysRevE.78.026103
ID情報
  • DOI : 10.1103/PhysRevE.78.026103
  • ISSN : 1539-3755
  • ISSN : 1550-2376
  • SCOPUS ID : 49549094292

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