Structural results for conditionally intersecting families and some applications

DOI10.37236/8894zbMath1441.05217arXiv1903.01622OpenAlexW3031586851MaRDI QIDQ2185223

Xizhi Liu

Publication date: 4 June 2020

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

Full work available at URL: https://arxiv.org/abs/1903.01622

zbMATH Keywords

Erdős-Ko-Rado theoremextremal set theoryintersecting sets

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Hypergraphs (05C65) Extremal set theory (05D05)

Cites Work

• A structural result for 3-graphs
• Unavoidable subhypergraphs: \(\mathbf a\)-clusters
• On Sperner families satisfying an additional condition
• \(d\)-cluster-free sets with a given matching number
• Erdős--Ko--Rado for three sets
• An intersection theorem for four sets
• INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• Families of Sets with Intersecting Clusters
• On Mubayi's Conjecture and Conditionally Intersecting Sets
• On generalized graphs
• A new generalization of the Erdős-Ko-Rado theorem

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