Emergence of Clusters in Growing Networks with Aging
| Autor: | Crokidakis, Nuno, de Menezes, Marcio Argollo |
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| Rok vydání: | 2009 |
| Předmět: | |
| Zdroj: | J. Stat. Mech P04018 (2009) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1742-5468/2009/04/P04018 |
| Popis: | We study numerically a model of nonequilibrium networks where nodes and links are added at each time step with aging of nodes and connectivity- and age-dependent attachment of links. By varying the effects of age in the attachment probability we find, with numerical simulations and scaling arguments, that a giant cluster emerges at a first-order critical point and that the problem is in the universality class of one dimensional percolation. This transition is followed by a change in the giant cluster's topology from tree-like to quasi-linear, as inferred from measurements of the average shortest-path length, which scales logarithmically with system size in one phase and linearly in the other. Comment: 8 pages, 6 figures, accepted for publication in JSTAT |
| Databáze: | arXiv |
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