Equilibration through local information exchange in networks

K. Y. Michael Wong, David Saad

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Article number010104
Pages (from-to)1-4
Number of pages4
JournalPhysical Review E
Issue number1
Publication statusPublished - 17 Jul 2006

Bibliographical note

Copyright of the American Physical Society


  • equilibrium states
  • energy functions
  • networks
  • network nodes
  • replica methods


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