A generalization of the Kruskal-Katona theorem

DOI10.1016/0097-3165(84)90025-6zbMath0539.05007OpenAlexW2788003375MaRDI QIDQ793732

G. F. Clements

Publication date: 1984

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(84)90025-6

zbMATH Keywords

Kruskal-Katona theoremsets with multiple points

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Hypergraphs (05C65) Permutations, words, matrices (05A05)

Related Items (10)

Log-Sobolev inequality for the multislice, with applications ⋮ An extremal problem for antichains of subsets of a multiset ⋮ Another generalization of the Kruskal-Katona theorem ⋮ The cubical poset is additive ⋮ On multiset k-families ⋮ Characterizing profiles of \(k\)-families in additive Macaulay posets ⋮ A Kruskal-Katona type theorem for integer partitions ⋮ An Erdős-Ko-Rado theorem for multisets ⋮ Yet another generalization of the Kruskal-Katona theorem ⋮ Antichains in the set of subsets of a multiset

Cites Work

• Antichains in the set of subsets of a multiset
• More on the generalized Macaulay theorem
• A generalization of a combinatorial theorem of macaulay
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