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Relative blocking in posets

Author

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  • Andrey O. Matveev

    (Data-Center Co.)

Abstract

Poset-theoretic generalizations of set-theoretic committee constructions are presented. The structure of the corresponding subposets is described. Sequences of irreducible fractions associated to the principal order ideals of finite bounded posets are considered and those related to the Boolean lattices are explored; it is shown that such sequences inherit all the familiar properties of the Farey sequences.

Suggested Citation

  • Andrey O. Matveev, 2007. "Relative blocking in posets," Journal of Combinatorial Optimization, Springer, vol. 13(4), pages 379-403, May.
    • Handle: RePEc:spr:jcomop:v:13:y:2007:i:4:d:10.1007_s10878-006-9028-2
    DOI: 10.1007/s10878-006-9028-2
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    References listed on IDEAS

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    1. Andrey O. Matveev, 2002. "A note on operators of deletion and contraction for antichains," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 31, pages 1-5, January.
    2. Andrey O. Matveev, 2001. "On blockers in bounded posets," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 26, pages 1-8, January.
    3. Andrey O. Matveev, 2003. "Extended blocker, deletion, and contraction maps on antichains," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-10, January.
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