Emergence of Clusters in Growing Networks with Aging

Details Emergence of Clusters in Growing Networks with Aging Emergence of Clusters in Growing Networks with Aging

2009-04-09

arxiv.org/abs/0904.1517v2

J. Stat. Mech P04018 (2009)

Physics

Condensed Matter

Statistical Mechanics

8 pages, 6 figures, accepted for publication in JSTAT

Scientific paper

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.

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