Explosive percolation in the human protein homology network
Levich Institute and Physics Department, City College of New York, New York, 10031 NY, USA
Corresponding author: a firstname.lastname@example.org
Revised: 25 April 2010
Published online: 19 May 2010
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.
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2010