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arXiv · 0911.4082

Explosive Percolation in the Human Protein Homology Network

Hernán D. Rozenfeld·Lazaros K. Gallos·Hernán A. Makse
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Abstract

We study the explosive character of the percolation transition in a real-world network. We show that the emergence of a spanning cluster in the Human Protein Homology Network (H-PHN) exhibits similar features to an Achlioptas-type process and is markedly different from regular random percolation. The underlying mechanism of this transition can be described by slow-growing clusters that remain isolated until the later stages of the process, when the addition of a small number of links leads to the rapid interconnection of these modules into a giant cluster. Our results indicate that the evolutionary-based process that shapes the topology of the H-PHN through duplication-divergence events may occur in sudden steps, similarly to what is seen in first-order phase transitions.

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Hernán D. Rozenfeld, Lazaros K. Gallos, Hernán A. Makse. 2009-11-20. Explosive Percolation in the Human Protein Homology Network. https://doi.org/10.1140/epjb/e2010-00156-8

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