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Title: Measuring and Modeling Bipartite Graphs with Community Structure

Technical Report ·
DOI:https://doi.org/10.2172/1561802· OSTI ID:1561802
 [1];  [2];  [2]
  1. Univ. of California, San Diego, CA (United States)
  2. Sandia National Laboratories (SNL-CA), Livermore, CA (United States)

Network science is a powerful tool for analyzing complex systems in fields ranging from sociology to engineering to biology. This paper is focused on generative models of bipartite graphs, also known as two-way graphs. We propose two generative models that can be easily tuned to reproduce the characteristics of real-world networks, not just qualitatively, but quantitatively. The measurements we consider are the degree distributions and the bipartite clustering coefficient, which we refer to as the metamorphosis coefficient. We define edge, node, and degreewise metamorphosis coefficients, enabling a more detailed understand of the bipartite community structure. Our proposed bipartite Chung-Lu model is able to reproduce real-world degree distributions, and our proposed bipartite “BTER” model reproduces both the degree distributions as well as the degreewise metamorphosis coefficients. We demonstrate the effectiveness of these models on several real-world data sets.

Research Organization:
Sandia National Lab. (SNL-CA), Livermore, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
DOE Contract Number:
AC04-94AL85000
OSTI ID:
1561802
Report Number(s):
SAND-2016-7228R; 646165
Country of Publication:
United States
Language:
English