Set systems with positive intersection sizes

DOI10.1016/j.disc.2017.04.025zbMath1367.05204OpenAlexW2621793885MaRDI QIDQ2012516

Jiuqiang Liu, Xiaodong Liu

Publication date: 1 August 2017

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

Full work available at URL: https://doi.org/10.1016/j.disc.2017.04.025

zbMATH Keywords

Erdős-Ko-Rado theoremmultilinear polynomialsFrankl-Wilson theoremSnevily theorem\(k\)-wise \(\mathcal{L}\)-intersecting familiescross \(t\)-intersecting families

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Extremal set theory (05D05)

Related Items (2)

A common generalization to theorems on set systems with \(\mathcal L\)-intersections ⋮ Uniform hypergraphs under certain intersection constraints between hyperedges

Cites Work

• The exact bound in the Erdős-Ko-Rado theorem
• Intersection theorems with geometric consequences
• Multilinear polynomials and Frankl-Ray-Chaudhuri-Wilson type intersection theorems
• On t-designs
• A generalization of Fisher's inequality
• On generalizations of the deBruijn-Erdős theorem
• Extremal set systems with restricted \(k\)-wise intersections.
• On \(k\)-wise set-intersections and \(k\)-wise Hamming-distances
• A sharp bound for the number of sets that pairwise intersect at \(k\) positive values
• Set systems with restricted \(k\)-wise \(\mathcal{L}\)-intersections modulo a prime number
• INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
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