On multiset k-families

DOI10.1016/0012-365X(88)90013-1zbMath0651.05052OpenAlexW1994761392MaRDI QIDQ1106244

G. F. Clements

Publication date: 1988

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(88)90013-1

zbMATH Keywords

multisetWhitney numbersMacaulay theoremshadow operator

Mathematics Subject Classification ID

Hypergraphs (05C65) Permutations, words, matrices (05A05) Combinatorial inequalities (05A20)

Related Items

The cubical poset is additive, Characterizing profiles of \(k\)-families in additive Macaulay posets, Unnamed Item

Cites Work

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• Antichains in the set of subsets of a multiset
• A generalization of the Kruskal-Katona theorem
• On maximal antichains containing no set and its complement
• An existence theorem for antichains
• More on the generalized Macaulay theorem. II
• Existence theorems for Sperner families
• A minimization problem concerning subsets of a finite set
• On the average size of the sets in a Sperner family
• A generalization of a combinatorial theorem of macaulay