On strengthenings of the intersecting shadow theorem

DOI10.1016/j.jcta.2021.105510zbMath1471.05105arXiv2101.03015OpenAlexW3192873113MaRDI QIDQ2049446

Gyula O. H. Katona, Peter Frankl

Publication date: 25 August 2021

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.03015

zbMATH Keywords

shadowinequalitiesfinite setsshifting

Mathematics Subject Classification ID

Extremal set theory (05D05)

Cites Work

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• The complete intersection theorem for systems of finite sets
• The exact bound in the Erdős-Ko-Rado theorem
• Beyond the Erdős-Ko-Rado theorem
• Shadows and shifting
• Regular bipartite graphs and intersecting families
• New injective proofs of the Erdős-Ko-Rado and Hilton-Milner theorems
• The complete nontrivial-intersection theorem for systems of finite sets
• An improved universal bound for \(t\)-intersecting families
• A simple proof of the Hilton-Milner theorem
• INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• Intersection theorems for systems of finite sets
• SOME INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• On intersecting families of finite sets

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