Maximal intersecting families and affine regular polygons in \(PG(2,q)\)

DOI10.1016/0097-3165(89)90057-5zbMath0737.05003OpenAlexW1999367254WikidataQ59561106 ScholiaQ59561106MaRDI QIDQ1812686

Endre Boros, Jeffry Kahn, Zoltan Fueredi

Publication date: 25 June 1992

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(89)90057-5

zbMATH Keywords

hypergraphblocking set\(k\)-setspolygons\(k\)-clique

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Hypergraphs (05C65) Permutations, words, matrices (05A05) Finite affine and projective planes (geometric aspects) (51E15) Blocking sets, ovals, (k)-arcs (51E21)

Related Items (11)

Minimum size blocking sets of certain line sets related to a conic in \(\mathrm{PG}(2, q)\) ⋮ A note on saturation for $k$-wise intersecting families ⋮ Relative blocking sets of unions of Baer subplanes ⋮ Game saturation of intersecting families ⋮ Sets with a large number of nuclei on a conic ⋮ Blocking sets of certain line sets related to a conic ⋮ Blocking sets of external, tangent and secant lines to a quadratic cone in \(\operatorname{PG} ( 3 , q )\) ⋮ Nonintersecting Ryser Hypergraphs ⋮ Matchings and covers in hypergraphs ⋮ Blocking sets of certain line sets related to a hyperbolic quadric in \(\mathrm{PG}(3, q)\) ⋮ Minimum size blocking sets of certain line sets with respect to an elliptic quadric in $PG(3,q)$

Cites Work

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• Embedding maximal cliques of sets in maximal cliques of bigger sets
• More on maximal intersecting families of finite sets
• A characterization of exterior lines of certain sets of points in PG(2,q)
• On the nuclei of a pointset of a finite projective plane
• On maximal intersecting families of finite sets
• On the combinatorial problems which I would most like to see solved
• Extremal problems among subsets of a set
• Maximal Intersecting Families of Finite Sets and n-Uniform Hjelmslev Planes

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