Equilibration through local information exchange in networks

K. Y. Michael Wong, David Saad

    Research output: Contribution to journalArticlepeer-review

    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.

    Original languageEnglish
    Article number010104
    Pages (from-to)1-4
    Number of pages4
    JournalPhysical Review E
    Volume74
    Issue number1
    DOIs
    Publication statusPublished - 17 Jul 2006

    Bibliographical note

    Copyright of the American Physical Society

    Keywords

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

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