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Some New Results on Macaulay Posets

  • Sergei L. Bezrukov
  • Uwe Leck
Chapter

Abstract

Macaulay posets are posets for which there is an analogue of the classical Kruskal-Katona theorem for finite sets. These posets are of great importance in many branches of combinatorics and have numerous applications. We survey mostly new and also some old results on Macaulay posets. Emphasis is also put on construction of extremal ideals in Macaulay posets.

Keywords

Partial Order Initial Segment Total Order Lexicographic Order Star Product 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Sergei L. Bezrukov
    • 1
  • Uwe Leck
    • 2
  1. 1.Department of Mathematics and Computer ScienceUniversity of WisconsinSuperiorUSA
  2. 2.Department of MathematicsUniversity of RostockGermany

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