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Properties of Graded Posets Preserved by Some Operations

In: The Mathematics of Paul Erdős II

Author

Listed:
  • Sergei L. Bezrukov

    (University of Wisconsin – Superior, Department of Mathematics and Computer Science)

  • Konrad Engel

    (University of Rostock, Department of Mathematics, Institute for Mathematics)

Abstract

Summary We answer the following question: Let P and Q be graded posets having some property and let ∘ be some poset operation. Is it true that P ∘ Q has also this property? The considered properties are: being Sperner, a symmetric chain order, Peck, LYM, and rank compressed. The studied operations are: direct product, direct sum, ordinal sum, ordinal product, rankwise direct product, and exponentiation.

Suggested Citation

  • Sergei L. Bezrukov & Konrad Engel, 2013. "Properties of Graded Posets Preserved by Some Operations," Springer Books, in: Ronald L. Graham & Jaroslav Nešetřil & Steve Butler (ed.), The Mathematics of Paul Erdős II, edition 2, pages 39-46, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-7254-4_4
    DOI: 10.1007/978-1-4614-7254-4_4
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