Open AccessMacaulay Posets
Author(s) -
Sergei L. Bezrukov,
Uwe Leck
Publication year - 2005
Publication title -
the electronic journal of combinatorics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.703
H-Index - 52
eISSN - 1097-1440
pISSN - 1077-8926
DOI - 10.37236/33
Subject(s) - star product , mathematics , combinatorics , partially ordered set , algebra over a field , discrete mathematics , pure mathematics
Macaulay posets are posets for which there is an analogue of the classical KruskalKatona 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, where the intention is to present them as pieces of a general theory. In particular, the classical examples of Macaulay posets are included as well as new ones. Emphasis is also put on the construction of Macaulay posets, and their relations to other discrete optimization problems.
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