Vector sum-intersection theorems

DOI10.1016/j.disc.2023.113506zbMath1518.05190arXiv2305.01328WikidataQ122918217 ScholiaQ122918217MaRDI QIDQ6172276

Balázs Patkós, Máté Vizer, Zsolt Tuza

Publication date: 19 July 2023

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

Full work available at URL: https://arxiv.org/abs/2305.01328

zbMATH Keywords

extremal set theoryintersection theorems

Mathematics Subject Classification ID

Extremal set theory (05D05) Coloring of graphs and hypergraphs (05C15)

Cites Work

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• Intersection problems in the \(q\)-ary cube
• The complete intersection theorem for systems of finite sets
• The exact bound in the Erdős-Ko-Rado theorem
• Inequalities for two set systems with prescribed intersections
• Erdős-Ko-Rado from Kruskal-Katona
• The complete nontrivial-intersection theorem for systems of finite sets
• A discrete isodiametric result: the Erdős-Ko-Rado theorem for multisets
• On Families of Weakly Cross-intersecting Set-pairs
• INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• The Erdös-Ko-Rado Theorem for Integer Sequences
• Intersection theorems for systems of finite sets
• On generalized graphs
• SOME INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• A generalization of a combinatorial theorem of macaulay
• On intersecting families of finite sets
• The Erdős-Ko-Rado theorem for integer sequences

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