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Indivisibility and divisibility polytopes

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  • COPPERSMITH, Don
  • LEE, Jon

Abstract

We study thep olytopes of binary n-strings that encode (positive) integers that are not divisible by a particular positive integer p - the indivisibility polytopes, as well as the more general "clipped cubes". Also, we discuss a potential application to factoring. Finally, we present some results concerning divisibility polytopes.

Suggested Citation

  • COPPERSMITH, Don & LEE, Jon, 2000. "Indivisibility and divisibility polytopes," LIDAM Discussion Papers CORE 2000031, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:2000031
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    File URL: https://sites.uclouvain.be/core/publications/coredp/coredp2000.html
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    References listed on IDEAS

    as
    1. Egon Balas & Clarence H. Martin, 1980. "Pivot and Complement--A Heuristic for 0-1 Programming," Management Science, INFORMS, vol. 26(1), pages 86-96, January.
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