An application of Dilworth's lattice of maximal antichains

DOI10.1016/S0012-365X(74)80022-1zbMath0271.05011OpenAlexW2121125688WikidataQ56679824 ScholiaQ56679824MaRDI QIDQ759153

Ralph Freese

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1016/s0012-365x(74)80022-1

Mathematics Subject Classification ID

Partial orders, general (06A06) Permutations, words, matrices (05A05) Combinatorial aspects of matroids and geometric lattices (05B35) Structure and representation theory of distributive lattices (06D05)

Related Items

Maximum-sized antichains in minimal posets ⋮ Extreme \(k\)-families ⋮ The Dilworth lattice of Artinian rings ⋮ Addendum to a paper of M. Saks ⋮ \(q\)-weighted log-concavity and \(q\)-product theorem on the normality of posets ⋮ The structure of Sperner k-families ⋮ Orthogonal structures on finite partial orders ⋮ Automorphisms of lexicographic products ⋮ On the lattice of maximum-sized antichains of a finite poset ⋮ Proof of a conjecture on the Sperner property of the subgroup lattice of an Abelian \(p\)-group ⋮ Sperner properties for groups and relations ⋮ The structure of Sperner k-families ⋮ Multiplayer rock-paper-scissors ⋮ Interlacing networks: birational RSK, the octahedron recurrence, and Schur function identities ⋮ Examples of Jump-Critical Ordered Sets

Cites Work

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• On Rota's problem concerning partitions
• Maximal sized antichains in partial orders
• A short proof of Sperner's lemma
• A generalization of Sperner's lemma
• Another Note on Sperner's Lemma

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