The structure of maximal non-trivial \(d\)-wise intersecting uniform families with large sizes

DOI10.1016/j.disc.2023.113533zbMath1518.05191arXiv2207.01049OpenAlexW4379511643MaRDI QIDQ6172282

Menglong Zhang, Unnamed Author

Publication date: 19 July 2023

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

Full work available at URL: https://arxiv.org/abs/2207.01049

zbMATH Keywords

maximalitynon-triviality\(\Delta\)-system method\(d\)-wise intersecting family

Mathematics Subject Classification ID

Extremal set theory (05D05)

Cites Work

• Unnamed Item
• Stability analysis for \(k\)-wise intersecting families
• The complete intersection theorem for systems of finite sets
• On Sperner families satisfying an additional condition
• The complete nontrivial-intersection theorem for systems of finite sets
• The structure of large non-trivial \(t\)-intersecting families of finite sets
• Non-trivial \(d\)-wise intersecting families
• The maximum measure of 3-wise \(t\)-intersecting families
• The maximum size of a non-trivial intersecting uniform family that is not a subfamily of the Hilton–Milner family
• The structure of large intersecting families
• INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• Intersection Theorems for Systems of Sets
• Intersection Properties of Systems of Finite Sets
• SOME INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• A Combinatorial Theorem
• On intersecting families of finite sets
• On intersecting families of finite sets
• A pushing-pulling method: New proofs of intersection theorems

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