Another generalization of the Kruskal-Katona theorem

DOI10.1016/0097-3165(94)90104-XzbMath0807.06003OpenAlexW2057223790MaRDI QIDQ1336454

G. F. Clements

Publication date: 24 October 1994

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(94)90104-x

zbMATH Keywords

algorithmranked posetKruskal-Katona theoremshadowscardinality

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Extremal set theory (05D05) Algebraic aspects of posets (06A11)

Related Items

Log-Sobolev inequality for the multislice, with applications ⋮ The cubical poset is additive ⋮ Characterizing profiles of \(k\)-families in additive Macaulay posets ⋮ A Kruskal-Katona type theorem for integer partitions ⋮ Yet another generalization of the Kruskal-Katona theorem

Cites Work

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• A generalization of the Kruskal-Katona theorem
• The optimal number of faces in cubical complexes
• The number of s-dimensional faces in a complex: An analogy between the simplex and the cube
• A generalization of a combinatorial theorem of macaulay