Hidden Variables in Bipartite Networks

Details Hidden Variables in Bipartite Networks Hidden Variables in Bipartite Networks

2011-04-16

arxiv.org/abs/1104.3184v2

Phys. Rev. E 84, 026114 (2011)

Physics

Data Analysis, Statistics and Probability

Scientific paper

10.1103/PhysRevE.84.026114

We introduce and study random bipartite networks with hidden variables. Nodes in these networks are characterized by hidden variables which control the appearance of links between node pairs. We derive analytic expressions for the degree distribution, degree correlations, the distribution of the number of common neighbors, and the bipartite clustering coefficient in these networks. We also establish the relationship between degrees of nodes in original bipartite networks and in their unipartite projections. We further demonstrate how hidden variable formalism can be applied to analyze topological properties of networks in certain bipartite network models, and verify our analytical results in numerical simulations.

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