Cross \(\mathcal L\)-intersecting families on set systems

DOI10.1016/j.disc.2009.09.006zbMath1228.05019OpenAlexW2110324069MaRDI QIDQ965946

Xiaodong Liu, Jiuqiang Liu

Publication date: 27 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.disc.2009.09.006

zbMATH Keywords

Erdős-Ko-Rado theoremFrankl-Ray-Chaudhuri-Wilson theoremsFrankl-Füredi's conjectureSnevily's conjecture

Mathematics Subject Classification ID

Permutations, words, matrices (05A05)

Related Items

Set Systems with L-Intersections and k-Wise L-Intersecting Families

Cites Work

• Unnamed Item
• The complete intersection theorem for systems of finite sets
• Set systems with \(\mathcal L\)-intersections modulo a prime number
• Intersection theorems with geometric consequences
• Multilinear polynomials and Frankl-Ray-Chaudhuri-Wilson type intersection theorems
• On t-designs
• A generalization of Fisher's inequality
• Proof of a conjecture of Frankl and Füredi
• 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
• Improved bounds on families under \(k\)-wise set-intersection constraints
• Erdös–Ko–Rado Theorem—22 Years Later
• INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• A Note on Fisher's Inequality for Balanced Incomplete Block Designs

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