A note on the maximum product-size of non-trivial cross \(t\)-intersecting families

DOI10.1016/j.disc.2023.113783OpenAlexW4388711569MaRDI QIDQ6184552

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Publication date: 25 January 2024

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

Full work available at URL: https://doi.org/10.1016/j.disc.2023.113783

zbMATH Keywords

shadowextremal combinatoricsshiftingcross intersecting

Mathematics Subject Classification ID

Extremal set theory (05D05)

Cites Work

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• The eigenvalue method for cross \(t\)-intersecting families
• An Erdős-Ko-Rado theorem for cross \(t\)-intersecting families
• A size-sensitive inequality for cross-intersecting families
• The complete intersection theorem for systems of finite sets
• The exact bound in the Erdős-Ko-Rado theorem
• Cross-intersecting sub-families of hereditary families
• The exact bound in the Erdős-Ko-Rado theorem for cross-intersecting families
• A generalization of a theorem of Kruskal
• Some best possible inequalities concerning cross-intersecting families
• The maximum product of sizes of cross-$t$-intersecting uniform families
• The maximum product of weights of cross-intersecting families
• INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• A cross‐intersection theorem for subsets of a set
• SOME INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• A new generalization of the Erdős-Ko-Rado theorem
• A product version of the Hilton-Milner theorem

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