English

Clique Graphs and Overlapping Communities

Physics and Society 2011-01-04 v1 Social and Information Networks Data Analysis, Statistics and Probability

Abstract

It is shown how to construct a clique graph in which properties of cliques of a fixed order in a given graph are represented by vertices in a weighted graph. Various definitions and motivations for these weights are given. The detection of communities or clusters is used to illustrate how a clique graph may be exploited. In particular a benchmark network is shown where clique graphs find the overlapping communities accurately while vertex partition methods fail.

Keywords

Cite

@article{arxiv.1009.0638,
  title  = {Clique Graphs and Overlapping Communities},
  author = {T. S. Evans},
  journal= {arXiv preprint arXiv:1009.0638},
  year   = {2011}
}

Comments

23 pages plus 16 additional pages in appendices

R2 v1 2026-06-21T16:09:03.570Z