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Cliques and duplication-divergence network growth

I. Ispolatov·P. L. Krapivsky·I. Mazo·A. Yuryev
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Abstract

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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I. Ispolatov, P. L. Krapivsky, I. Mazo, A. Yuryev. 2005-02-07. Cliques and duplication-divergence network growth. https://doi.org/10.1088/1367-2630%2F7%2F1%2F145

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