Sergei L. Bezrukov, Uwe Leck
The Theory of Macaulay Posets
Preprints aus dem Fachbereich Mathematik, Universitt Rostock
Abstract: Macaulay posets are posets for which there is an analogue
- 06A06 Partial order, general
- 05D05 Extremal set theory
of the classical Kruskal-Katona theorem for finite sets.
These posets are of great importance in many branches of
combinatorics but have numerous applications.
We survey mostly new and also some old results on Macaulay posets,
where the intension 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 construction
of Macaulay posets, and their relations to other disrete
Keywords: partially ordered sets, Macaulay posets, Kruskal-Katona theorem