Set systems with \(\mathcal L\)-intersections modulo a prime number

DOI10.1016/j.jcta.2008.04.008zbMath1175.05005OpenAlexW1995895515MaRDI QIDQ1003627

William Y. C. Chen, Jiuqiang Liu

Publication date: 4 March 2009

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2008.04.008

zbMATH Keywords

Erdős-Ko-Rado theoremset systemFrankl-Ray-Chaudhuri-Wilson theoremsFrankl-Füredi's conjectureprime moduloSnevvily's conjecture

Mathematics Subject Classification ID

Permutations, words, matrices (05A05)

Related Items (7)

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 ⋮ On the biclique cover of the complete graph ⋮ Set systems with restricted \(k\)-wise \(\mathcal{L}\)-intersections modulo a prime number ⋮ Cross \(\mathcal L\)-intersecting families on set systems ⋮ Set systems with cross \(\mathcal L\)-intersection and \(k\)-wise \(\mathcal L\)-intersecting families

Cites Work

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• Intersection families and Snevily's conjecture
• Intersection theorems with geometric consequences
• Multilinear polynomials and Frankl-Ray-Chaudhuri-Wilson type intersection theorems
• On t-designs
• Multilinear polynomials and a conjecture of Frankl and Füredi
• On generalizations of the deBruijn-Erdős theorem
• Proof of a conjecture of Frankl and Füredi
• 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
• INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• A Note on Fisher's Inequality for Balanced Incomplete Block Designs
• Extremal case of Frankl-Ray-Chaudhuri-Wilson inequality

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