Intersecting families, signed sets, and injection

zbMath1439.05215arXiv1912.10324MaRDI QIDQ5109063

Carl Feghali

Publication date: 7 May 2020

Full work available at URL: https://arxiv.org/abs/1912.10324

zbMATH Keywords

intersecting familyfinite setsintersection

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Extremal set theory (05D05) Signed and weighted graphs (05C22)

Cites Work

• A Hilton-Milner-type theorem and an intersection conjecture for signed sets
• A new short proof of the EKR theorem
• An ordered version of the Erdős-Ko-Rado theorem
• An Erdős-Ko-Rado theorem for the subcubes of a cube
• Multiple cross-intersecting families of signed sets
• Non-trivial intersecting families
• The diametric theorem in Hamming spaces---optimal anticodes
• An Erdős-Ko-Rado theorem for signed sets
• New injective proofs of the Erdős-Ko-Rado and Hilton-Milner theorems
• Erdős-Ko-Rado from Kruskal-Katona
• Intersecting systems of signed sets
• A simple proof of the Hilton-Milner theorem
• A simple proof of the Erdős-Chao Ko-Rado theorem
• Erdös–Ko–Rado Theorem—22 Years Later
• Extremal Finite Set Theory
• INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• Intersection theorems for systems of finite sets
• SOME INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• An intersection theorem for weighted sets

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