Equilibration through local information exchange in networks
Disordered Systems and Neural Networks
2009-11-11 v3 Statistical Mechanics
Abstract
We study the equilibrium states of energy functions involving a large set of real variables, defined on the links of sparsely connected networks, and interacting at the network nodes, using the cavity and replica methods. When applied to the representative problem of network resource allocation, an efficient distributed algorithm is devised, with simulations showing full agreement with theory. Scaling properties with the network connectivity and the resource availability are found.
Cite
@article{arxiv.cond-mat/0509794,
title = {Equilibration through local information exchange in networks},
author = {K. Y. Michael Wong and David Saad},
journal= {arXiv preprint arXiv:cond-mat/0509794},
year = {2009}
}
Comments
v1: 7 pages, 1 figure, v2: 4 pages, 2 figures, simplified analysis and more organized results, v3: minor changes