A note on non-empty cross-intersecting families

DOI10.1016/j.ejc.2024.103968zbMATH Open1543.05185MaRDI QIDQ6568844

Menglong Zhang, Tao Feng

Publication date: 8 July 2024

Published in: European Journal of Combinatorics (Search for Journal in Brave)

zbMATH Keywords

Erdős-Ko-Rado theoremlargest intersecting \(k\)-uniform families

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Extremal set theory (05D05)

Cites Work

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• A short proof of a cross-intersection theorem of Hilton
• A generalization of a theorem of Kruskal
• Families of finite sets with minimum shadows
• Some best possible inequalities concerning cross-intersecting families
• Old and new applications of Katona's circle
• INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• THE ERDÖS–KO–RADO THEOREM WITH VALENCY CONDITIONS
• An Intersection Theorem for a Collection of Families of Subsets of a Finite Set
• 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

Related Items (2)

Non-empty pairwise cross-intersecting families ⋮ On non-empty cross-\(t\)-intersecting families

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