Cliques and duplication-divergence network growth

Details Cliques and duplication-divergence network growth Cliques and duplication-divergence network growth

2005-02-07

arxiv.org/abs/q-bio/0502005v1

New J. Phys. v. 7 (2005) 145

Biology

Quantitative Biology

Molecular Networks

7 pages, 6 figures

Scientific paper

10.1088/1367-2630/7/1/145

A population of complete subgraphs or cliques in a network evolving via duplication-divergence is considered. We find that a number of cliques of each size scales linearly with the size of the network. We also derive a clique population distribution that is in perfect agreement with both the simulation results and the clique statistic of the protein-protein binding network of the fruit fly. In addition, we show that such features as fat-tail degree distribution, various rates of average degree growth and non-averaging, revealed recently for only the particular case of a completely asymmetric divergence, are present in a general case of arbitrary divergence.

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