On hierarchically closed fractional intersecting families

DOI10.37236/11651arXiv2211.02540MaRDI QIDQ6117257

Srimanta Bhattacharya, Niranjan Balachandran, Brahadeesh Sankarnarayanan, Rogers Mathew, Krishn Vishwas Kher

Publication date: 16 February 2024

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.02540

zbMATH Keywords

intersecting familypositive proper fractions

Mathematics Subject Classification ID

Extremal set theory (05D05) Other combinatorial set theory (03E05) Designs and configurations (05B99)

Cites Work

• Unnamed Item
• Intersection theorems for vector spaces
• Intersection theorems with geometric consequences
• Multilinear polynomials and Frankl-Ray-Chaudhuri-Wilson type intersection theorems
• Proof of a conjecture of Frankl and Füredi
• A sharp bound for the number of sets that pairwise intersect at \(k\) positive values
• Fractional \(L\)-intersecting families
• An ensemble of high rank matrices arising from tournaments
• Modular and fractional \(L\)-intersecting families of vector spaces
• Fractional cross intersecting families
• Maximal fractional cross-intersecting families
• Almost full rank matrices arising from transitive tournaments

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