On generalizations of the deBruijn-Erdős theorem
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Publication:1336453
DOI10.1016/0097-3165(94)90103-1zbMath0806.05063OpenAlexW1995921843MaRDI QIDQ1336453
Publication date: 22 November 1994
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0097-3165(94)90103-1
Related Items (24)
Equidistant families of sets ⋮ Improved bounds on families under \(k\)-wise set-intersection constraints ⋮ A common generalization to theorems on set systems with \(\mathcal L\)-intersections ⋮ Proof of a conjecture of Frankl and Füredi ⋮ Intersection families and Snevily's conjecture ⋮ A strengthened inequality of Alon-Babai-Suzuki's conjecture on set systems with restricted intersections modulo \(p\) ⋮ A new Alon-Babai-Suzuki-type inequality on set systems ⋮ Set Systems with L-Intersections and k-Wise L-Intersecting Families ⋮ Uniform hypergraphs under certain intersection constraints between hyperedges ⋮ Maximal fractional cross-intersecting families ⋮ Lines in hypergraphs ⋮ Set systems with restricted \(k\)-wise \(\mathcal{L}\)-intersections modulo a prime number ⋮ A proof of Alon-Babai-Suzuki's conjecture and multilinear polynomials ⋮ Restricted intersecting families on simplicial complex ⋮ On mod-\(p\) Alon-Babai-Suzuki inequality ⋮ Alon-Babai-Suzuki's conjecture related to binary codes in nonmodular version ⋮ Alon-Babai-Suzuki's inequalities, Frankl-Wilson type theorem and multilinear polynomials ⋮ Set systems with positive intersection sizes ⋮ Set systems with \(\mathcal L\)-intersections modulo a prime number ⋮ The combinatorics of N. G. de Bruijn ⋮ A generalization of Fisher's inequality ⋮ Multilinear polynomials and a conjecture of Frankl and Füredi ⋮ Set systems with cross \(\mathcal L\)-intersection and \(k\)-wise \(\mathcal L\)-intersecting families ⋮ Some results on intersecting families of subsets
Cites Work
- An extension of a Frankl-Füredi theorem
- Intersection theorems with geometric consequences
- Multilinear polynomials and Frankl-Ray-Chaudhuri-Wilson type intersection theorems
- Helly families of maximal size
- A sharp bound for the number of sets that pairwise intersect at \(k\) positive values
- An extension of a theorem of the Bruijn and Erdős on combinatorial designs
- A Note on Fisher's Inequality for Balanced Incomplete Block Designs
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