Set systems with restricted \(k\)-wise \(\mathcal{L}\)-intersections modulo a prime number

DOI10.1016/j.ejc.2013.10.006zbMath1284.05011OpenAlexW2066230934MaRDI QIDQ2441664

Wenbo Yang, Jiuqiang Liu

Publication date: 25 March 2014

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2013.10.006

zbMATH Keywords

Erdős-Ko-Rado theoremintersecting familieslinear algebra methods

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Combinatorial inequalities (05A20)

Related Items (10)

Modular and fractional \(L\)-intersecting families of vector spaces ⋮ A common generalization to theorems on set systems with \(\mathcal L\)-intersections ⋮ Fractional cross intersecting families ⋮ A strengthened inequality of Alon-Babai-Suzuki's conjecture on set systems with restricted intersections modulo \(p\) ⋮ Set Systems with L-Intersections and k-Wise L-Intersecting Families ⋮ Uniform hypergraphs under certain intersection constraints between hyperedges ⋮ Maximal fractional cross-intersecting families ⋮ Fractional \(L\)-intersecting families ⋮ Set systems with positive intersection sizes ⋮ Set systems with \(k\)-wise \(L\)-intersections and codes with restricted Hamming distances

Cites Work

• Set systems with \(\mathcal L\)-intersections modulo a prime number
• Set systems with cross \(\mathcal L\)-intersection and \(k\)-wise \(\mathcal L\)-intersecting families
• Intersection theorems with geometric consequences
• Multilinear polynomials and Frankl-Ray-Chaudhuri-Wilson type intersection theorems
• On t-designs
• On generalizations of the deBruijn-Erdős theorem
• 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
• On cross \(t\)-intersecting families of sets
• On r-Cross Intersecting Families of Sets
• INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• Set Systems with Restricted Cross-Intersections and the Minimum Rank ofInclusion Matrices
• On mod-\(p\) Alon-Babai-Suzuki inequality
• Extremal case of Frankl-Ray-Chaudhuri-Wilson inequality

This page was built for publication: Set systems with restricted \(k\)-wise \(\mathcal{L}\)-intersections modulo a prime number