Weighted network modules

dc.creatorFarkas, Illes J.
dc.creatorAbel, Daniel
dc.creatorPalla, Gergely
dc.creatorVicsek, Tamas
dc.date2007-03-27
dc.date.accessioned2026-07-07T08:18:50Z
dc.date.available2026-07-07T08:18:50Z
dc.descriptionThe inclusion of link weights into the analysis of network properties allows a deeper insight into the (often overlapping) modular structure of real-world webs. We introduce a clustering algorithm (CPMw, Clique Percolation Method with weights) for weighted networks based on the concept of percolating k-cliques with high enough intensity. The algorithm allows overlaps between the modules. First, we give detailed analytical and numerical results about the critical point of weighted k-clique percolation on (weighted) Erdos-Renyi graphs. Then, for a scientist collaboration web and a stock correlation graph we compute three-link weight correlations and with the CPMw the weighted modules. After reshuffling link weights in both networks and computing the same quantities for the randomised control graphs as well, we show that groups of 3 or more strong links prefer to cluster together in both original graphs.
dc.description19 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0703706
dc.identifierhttp://arxiv.org/abs/cond-mat/0703706
dc.identifierNew J. Phys. 9, 180 (2007)
dc.identifierdoi:10.1088/1367-2630/9/6/180
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134572
dc.subjectStatistical Mechanics
dc.titleWeighted network modules
dc.typetext

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