Applications of the symmetric chain decomposition of the lattice of divisors

DOI10.1007/BF01462228zbMath0807.05069MaRDI QIDQ1337572

Chuanzhong Zhu, Jerrold R. Griggs

Publication date: 10 November 1994

Published in: Order (Search for Journal in Brave)

zbMATH Keywords

symmetric chain decompositionLittlewood-Offord problemlattice of divisorsrank numbersrank sets

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Combinatorics of partially ordered sets (06A07) Extremal set theory (05D05)

Cites Work

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• Antichains in the set of subsets of a multiset
• The morphology of partially ordered sets
• Strong versions of Sperner's theorem
• Maximum antichains in the product of chains
• On a lemma of Littlewood and Offord on the distribution of certain sums
• On a lemma of Littlewood and Offord on the distributions of linear combinations of vectors
• Normalized Matching in Direct Products of Partial Orders
• On Primitive Sequences
• On the Divisors of a Number