Contrary to many recent models of growing networks; we present a model with fixed number of nodes and links; where a dynamics favoring the formation of links between nodes with degree of connectivity as different as possible is introduced. 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 nontrivial hierarchical clustering.
%0 Journal Article
%1 Baiesi2003Scalefree
%A Baiesi, M.
%A Manna, S. S.
%D 2003
%I American Physical Society
%J Physical Review E
%K hamiltonian\_dynamics, network\_growth, temporal-networks scale-free-networks
%N 4
%P 047103+
%R 10.1103/physreve.68.047103
%T Scale-free networks from a Hamiltonian dynamics
%U http://dx.doi.org/10.1103/physreve.68.047103
%V 68
%X Contrary to many recent models of growing networks; we present a model with fixed number of nodes and links; where a dynamics favoring the formation of links between nodes with degree of connectivity as different as possible is introduced. 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 nontrivial hierarchical clustering.
@article{Baiesi2003Scalefree,
abstract = {{Contrary to many recent models of growing networks; we present a model with fixed number of nodes and links; where a dynamics favoring the formation of links between nodes with degree of connectivity as different as possible is introduced. 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 nontrivial hierarchical clustering.}},
added-at = {2019-06-10T14:53:09.000+0200},
author = {Baiesi, M. and Manna, S. S.},
biburl = {https://www.bibsonomy.org/bibtex/2686c81e0e304dcd7fba12247e4d2a634/nonancourt},
citeulike-article-id = {4037566},
citeulike-linkout-0 = {http://dx.doi.org/10.1103/physreve.68.047103},
citeulike-linkout-1 = {http://link.aps.org/abstract/PRE/v68/i4/e047103},
citeulike-linkout-2 = {http://link.aps.org/pdf/PRE/v68/i4/e047103},
day = 10,
doi = {10.1103/physreve.68.047103},
interhash = {5c10c5bae79afaec8552d9cbbfa471f5},
intrahash = {686c81e0e304dcd7fba12247e4d2a634},
journal = {Physical Review E},
keywords = {hamiltonian\_dynamics, network\_growth, temporal-networks scale-free-networks},
month = oct,
number = 4,
pages = {047103+},
posted-at = {2009-09-08 16:46:03},
priority = {2},
publisher = {American Physical Society},
timestamp = {2019-08-01T16:13:16.000+0200},
title = {{Scale-free networks from a Hamiltonian dynamics}},
url = {http://dx.doi.org/10.1103/physreve.68.047103},
volume = 68,
year = 2003
}