Stabilities for non-uniform \(t\)-intersecting families
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Publication:6635158
DOI10.37236/12706MaRDI QIDQ6635158
Publication date: 9 November 2024
Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)
Extremal problems in graph theory (05C35) Hypergraphs (05C65) Extremal set theory (05D05) Structural characterization of families of graphs (05C75)
Cites Work
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- A stability result for the Katona theorem
- A size-sensitive inequality for cross-intersecting families
- The exact bound in the Erdős-Ko-Rado theorem
- A generalization of the Katona theorem for cross t-intersecting families
- Some best possible inequalities concerning cross-intersecting families
- The complete nontrivial-intersection theorem for systems of finite sets
- The structure of large non-trivial \(t\)-intersecting families of finite sets
- Non-trivial \(d\)-wise intersecting families
- On subsets of the hypercube with prescribed Hamming distances
- The Katona theorem for vector spaces
- New inequalities for cross-intersecting families
- Intersections and distinct intersections in cross-intersecting families
- The maximum size of a non-trivial intersecting uniform family that is not a subfamily of the Hilton-Milner family
- The structure of large intersecting families
- INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
- THE ERDÖS–KO–RADO THEOREM WITH VALENCY CONDITIONS
- Extremal Problems for Finite Sets
- Intersection theorems for systems of finite sets
- A Stability Result for Families with Fixed Diameter
- On a combinatorial conjecture of Erdös
- SOME INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
- On intersecting families of finite sets
- Stability of intersecting families
- Stability through non-shadows
- Improved bounds on the maximum diversity of intersecting families
- Nearly extremal non-trivial cross \(t\)-intersecting families and \(r\)-wise \(t\)-intersecting families
- Short proofs of three results about intersecting systems
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