New lower bounds for the Turán density of \(PG_m(q)\)

DOI10.1016/j.disc.2023.113367OpenAlexW4320713462MaRDI QIDQ2699935

Tao Zhang, Gennian Ge

Publication date: 20 April 2023

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.15518

zbMATH Keywords

hypergraphprojective geometryTurán number

Mathematics Subject Classification ID

Hypergraphs (05C65) Enumeration in graph theory (05C30) Combinatorial aspects of finite geometries (05B25) Projective analytic geometry (51N15)

Cites Work

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• On the size of a blocking set in \(\text{PG}(2,p)\)
• The maximum size of 3-uniform hypergraphs not containing a Fano plane
• On the Turán number of triple systems
• The Turán density of the hypergraph \(\{abc,ade,bde,cde\}\)
• Bounds on the Turán density of PG(3, 2)
• The Turán number of the Fano plane
• On a hypergraph Turán problem of Frankl
• The Turán problem for projective geometries
• Baer subplanes and blocking sets
• Blocking Sets in Finite Projective Planes
• Triple Systems Not Containing a Fano Configuration
• On Triple Systems with Independent Neighbourhoods
• On the structure of linear graphs

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