Extremal set systems with restricted \(k\)-wise intersections.
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Publication:1427014
DOI10.1016/j.jcta.2003.10.008zbMath1054.05095OpenAlexW2050953287MaRDI QIDQ1427014
Zoltan Fueredi, Benjamin Sudakov
Publication date: 14 March 2004
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.2003.10.008
Related Items (14)
A note on \(k\)-wise oddtown problems ⋮ Improved bounds on families under \(k\)-wise set-intersection constraints ⋮ A common generalization to theorems on set systems with \(\mathcal L\)-intersections ⋮ Uniform hypergraphs under certain intersection constraints between hyperedges ⋮ Restricted \(t\)-wise \(\mathcal{L}\)-intersecting families on set systems ⋮ Families of vector spaces with \(r\)-wise \(\mathcal{L}\)-intersections ⋮ Almost-Fisher families ⋮ Non-trivial \(d\)-wise intersecting families ⋮ Ryser's conjecture for \(t\)-intersecting hypergraphs ⋮ Almost-Fisher families ⋮ Cross \(\mathcal L\)-intersecting families on set systems ⋮ Set systems with positive intersection sizes ⋮ Rank-width and tree-width of \(H\)-minor-free graphs ⋮ Set systems with cross \(\mathcal L\)-intersection and \(k\)-wise \(\mathcal L\)-intersecting families
Cites Work
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- On finite set-systems whose every intersection is a kernel of a star
- An intersection problem whose extremum is the finite projective space
- Intersection theorems with geometric consequences
- Multilinear polynomials and Frankl-Ray-Chaudhuri-Wilson type intersection theorems
- On t-designs
- On \(k\)-wise set-intersections and \(k\)-wise Hamming-distances
- Extremal set systems with weakly restricted intersections
- An Inequality for Incidence Matrices
- On some Theorems in Combinatorics Relating to Incomplete Block Designs
- Set-systems with restricted multiple intersections
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