Scale free networks from a Hamiltonian dynamics
Statistical Mechanics
2007-05-23 v2 Adaptation and Self-Organizing Systems
Abstract
Contrary to many recent models of growing networks, we present a model with fixed number of nodes and links, where it is introduced a dynamics favoring the formation of links between nodes with degree of connectivity as different as possible. By applying a local rewiring move, the network reaches equilibrium states assuming broad degree distributions, which have a power law form in an intermediate range of the parameters used. Interestingly, in the same range we find non-trivial hierarchical clustering.
Cite
@article{arxiv.cond-mat/0305054,
title = {Scale free networks from a Hamiltonian dynamics},
author = {M. Baiesi and S. S. Manna},
journal= {arXiv preprint arXiv:cond-mat/0305054},
year = {2007}
}
Comments
4 pages, revtex4, 5 figures. v2: corrected statements about equilibrium