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A tolerance-based heuristic approach for the weighted independent set problem

Author

Listed:
  • B. I. Goldengorin

    (National Research University Higher School of Economics
    National Research University Higher School of Economics)

  • D. S. Malyshev

    (National Research University Higher School of Economics
    National Research University Higher School of Economics
    Lobachevsky State University of Nizhny Novgorod)

  • P. M. Pardalos

    (National Research University Higher School of Economics
    University of Florida)

  • V. A. Zamaraev

    (National Research University Higher School of Economics
    National Research University Higher School of Economics
    Lobachevsky State University of Nizhny Novgorod)

Abstract

The notion of a tolerance is a helpful tool for designing approximation and exact algorithms for solving combinatorial optimization problems. In this paper we suggest a tolerance-based polynomial heuristic algorithm for the weighted independent set problem. Several computational experiments show that our heuristics works very well on graphs of a small density.

Suggested Citation

  • B. I. Goldengorin & D. S. Malyshev & P. M. Pardalos & V. A. Zamaraev, 2015. "A tolerance-based heuristic approach for the weighted independent set problem," Journal of Combinatorial Optimization, Springer, vol. 29(2), pages 433-450, February.
    • Handle: RePEc:spr:jcomop:v:29:y:2015:i:2:d:10.1007_s10878-013-9606-z
    DOI: 10.1007/s10878-013-9606-z
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    References listed on IDEAS

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    1. Egon Balas & Matthew J. Saltzman, 1991. "An Algorithm for the Three-Index Assignment Problem," Operations Research, INFORMS, vol. 39(1), pages 150-161, February.
    2. Katta G. Murty, 1968. "Letter to the Editor—An Algorithm for Ranking all the Assignments in Order of Increasing Cost," Operations Research, INFORMS, vol. 16(3), pages 682-687, June.
    3. Helsgaun, Keld, 2000. "An effective implementation of the Lin-Kernighan traveling salesman heuristic," European Journal of Operational Research, Elsevier, vol. 126(1), pages 106-130, October.
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