Non-trivially intersecting multi-part families

DOI10.1016/j.jcta.2017.12.001zbMath1381.05081arXiv1703.09946OpenAlexW2743533257MaRDI QIDQ1703447

Peng Zhang

Publication date: 2 March 2018

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.09946

zbMATH Keywords

Erdős-Ko-Rado theoremextremal set theoryHilton-Milner theoremintersecting families

Mathematics Subject Classification ID

Extremal set theory (05D05)

Related Items (2)

Extremal \(t\)-intersecting families for direct products ⋮ Degree versions of theorems on intersecting families via stability

Cites Work

• Unnamed Item
• Non-trivial intersecting uniform sub-families of hereditary families
• A Hilton-Milner-type theorem and an intersection conjecture for signed sets
• Independent sets in direct products of vertex-transitive graphs
• The complete intersection theorem for systems of finite sets
• Some intersection theorems
• The diametric theorem in Hamming spaces---optimal anticodes
• The intersection theorem for direct products
• Weight functions on the Kneser graph and the solution of an intersection problem of Sali
• Graph products and the chromatic difference sequence of vertex-transitive graphs
• Regular bipartite graphs and intersecting families
• Graph products, Fourier analysis and spectral techniques
• Independent sets in graph powers are almost contained in juntas
• Fourier analysis and large independent sets in powers of complete graphs
• An Erdös-Ko-Rado theorem for direct products
• INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• Applications of product colouring
• A general 2-part Erdȍs-Ko-Rado theorem
• SOME INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• On intersecting families of finite sets
• The Erdős-Ko-Rado theorem for integer sequences

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