Understanding how both the partitions of a bipartite network affect its one-mode projection

Animesh Mukherjee, Monojit Choudhury and Niloy Ganguly

Physica A: Statistical Mechanics and its Applications, 2011, vol. 390, issue 20, 3602-3607

Abstract: It is a well-known fact that the degree distribution (DD) of the nodes in a partition of a bipartite network influences the DD of its one-mode projection on that partition. However, there are no studies exploring the effect of the DD of the other partition on the one-mode projection. In this article, we show that the DD of the other partition, in fact, has a very strong influence on the DD of the one-mode projection. We establish this fact by deriving the exact or approximate closed-forms of the DD of the one-mode projection through the application of generating function formalism followed by the method of iterative convolution. The results are cross-validated through appropriate simulations.

Keywords: Bipartite network; One-mode projection; Discrete combinatorial systems; Generating function; Convolution (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:390:y:2011:i:20:p:3602-3607

DOI: 10.1016/j.physa.2011.05.007

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