A Group-Theoretic Setting for Some Intersecting Sperner Families

DOI10.1017/S0963548300000377zbMath0793.05137OpenAlexW2155567071MaRDI QIDQ4291192

Ulrich Faigle, Walter Kern, Péter L. Erdős

Publication date: 10 August 1994

Published in: Combinatorics, Probability and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0963548300000377

zbMATH Keywords

partial ordersgeneralized Boolean algebrasintersecting Sperner familiesBollobás-type inequalitiesErdős-Ko-Rado-type resultsintersecting affine subspaces

Mathematics Subject Classification ID

Extremal set theory (05D05)

Related Items (14)

The Katona cycle proof of the Erdős-Ko-Rado theorem and its possibilities ⋮ On Chvàtal's conjecture and a conjecture on families of signed sets ⋮ Pseudo-LYM inequalities and AZ identities ⋮ Intersecting families, cross-intersecting families, and a proof of a conjecture of Feghali, Johnson and Thomas ⋮ A sharp bound for the product of weights of cross-intersecting families ⋮ Erdős-Ko-Rado theorems of labeled sets ⋮ Multiple cross-intersecting families of signed sets ⋮ Intersecting antichains and shadows in linear lattices ⋮ An Erdős-Ko-Rado theorem for restricted signed sets ⋮ Compression and Erdős-Ko-Rado graphs ⋮ Strongly intersecting integer partitions ⋮ On \(t\)-intersecting families of signed sets and permutations ⋮ The Erdős-Ko-Rado properties of various graphs containing singletons ⋮ The Erdős-Ko-Rado properties of set systems defined by double partitions

Cites Work

• An Erdős-Ko-Rado theorem for the subcubes of a cube
• More on the Erdős-Ko-Rado theorem for integer sequences
• On chains and Sperner k-families in ranked posets. II
• Intersection theorems for systems of finite vector spaces
• Sperner systems consisting of pairs of complementary subsets
• A simple proof of the Erdős-Chao Ko-Rado theorem
• Erdös–Ko–Rado Theorem—22 Years Later
• INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• Maximal Families of Pairwise Disjoint Maximal Proper Chains in a Geometric Lattice

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