Emergence of Clusters in Growing Networks with Aging
Abstract
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.
Keywords
Cite
@article{arxiv.0904.1517,
title = {Emergence of Clusters in Growing Networks with Aging},
author = {Nuno Crokidakis and Marcio Argollo de Menezes},
journal= {arXiv preprint arXiv:0904.1517},
year = {2015}
}
Comments
8 pages, 6 figures, accepted for publication in JSTAT