Equilibration through local information exchange in networks

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. © 2006 The American Physical Society.

Publication DOI: https://doi.org/10.1103/PhysRevE.74.010104
Divisions: Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Additional Information: Copyright of the American Physical Society
Uncontrolled Keywords: equilibrium states,energy functions,networks,network nodes,replica methods,Physics and Astronomy(all),Condensed Matter Physics,Statistical and Nonlinear Physics,Mathematical Physics
Full Text Link:
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
https://journal ... sRevE.74.010104 (Publisher URL)
PURE Output Type: Article
Published Date: 2006-07-17
Authors: Wong, K. Y. Michael
Saad, David ( 0000-0001-9821-2623)

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