Journal
EUROPEAN PHYSICAL JOURNAL B
Volume 75, Issue 3, Pages 305-310Publisher
SPRINGER
DOI: 10.1140/epjb/e2010-00156-8
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Funding
- NSF-SES
- NSF-EF
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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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