The Hilton-Spencer cycle theorems via Katona's shadow intersection theorem
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Publication:2107760
DOI10.7151/dmgt.2365zbMath1504.05287OpenAlexW3212482951MaRDI QIDQ2107760
Publication date: 2 December 2022
Published in: Discussiones Mathematicae. Graph Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.7151/dmgt.2365
cycleintersecting familyErdős-Ko-Rado theoremindependent setKatona's shadow intersection theoremHilton-Spencer theorem
Extremal problems in graph theory (05C35) Paths and cycles (05C38) Extremal set theory (05D05) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)
Cites Work
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- A new short proof of the EKR theorem
- The complete intersection theorem for systems of finite sets
- Invitation to intersection problems for finite sets
- The exact bound in the Erdős-Ko-Rado theorem
- A generalization of Talbot's theorem about King Arthur and his knights of the round table
- On \(t\)-intersecting families of signed sets and permutations
- The Erdős-Ko-Rado properties of various graphs containing singletons
- The Erdős-Ko-Rado properties of set systems defined by double partitions
- Erdös-Ko-Rado theorems for a family of trees
- Intersecting families, cross-intersecting families, and a proof of a conjecture of Feghali, Johnson and Thomas
- New injective proofs of the Erdős-Ko-Rado and Hilton-Milner theorems
- Compression and Erdős-Ko-Rado graphs
- Graphs with the Erdős-Ko-Rado property
- Erdős-Ko-Rado from Kruskal-Katona
- The maximum product of sizes of cross-intersecting families
- Erdős-Ko-Rado theorems for chordal graphs and trees
- Erdős-Ko-Rado theorems for simplicial complexes
- A simple proof of the Erdős-Chao Ko-Rado theorem
- Erdös–Ko–Rado Theorem—22 Years Later
- KING ARTHUR AND HIS KNIGHTS WITH TWO ROUND TABLES
- INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
- Extremal t -intersecting sub-families of hereditary families
- INTERSECTING FAMILIES OF SEPARATED SETS
- Intersecting families of sets and permutations: a survey
- Intersection theorems for systems of finite sets
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