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PTAS for the minimum weighted dominating set in growth bounded graphs

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Author Info

  • Zhong Wang

    ()

  • Wei Wang

    ()

  • Joon-Mo Kim

    ()

  • Bhavani Thuraisingham

    ()

  • Weili Wu

    ()

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    Abstract

    The minimum weighted dominating set (MWDS) problem is one of the classic NP-hard optimization problems in graph theory with applications in many fields such as wireless communication networks. MWDS in general graphs has been showed not to have polynomial-time constant-approximation if $${\mathcal{NP} \neq \mathcal{P}}$$ . Recently, several polynomial-time constant-approximation SCHEMES have been designed for MWDS in unit disk graphs. In this paper, using the local neighborhood-based scheme technique, we present a PTAS for MWDS in polynomial growth bounded graphs with bounded degree constraint. Copyright Springer Science+Business Media, LLC. 2012

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    File URL: http://hdl.handle.net/10.1007/s10898-011-9795-x
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    Bibliographic Info

    Article provided by Springer in its journal Journal of Global Optimization.

    Volume (Year): 54 (2012)
    Issue (Month): 3 (November)
    Pages: 641-648

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    Handle: RePEc:spr:jglopt:v:54:y:2012:i:3:p:641-648

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    Web page: http://www.springer.com/business/operations+research/journal/10898

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    Related research

    Keywords: Approximation algorithm; Graph theory; PTAS; Dominating set;

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