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The Hilton-Milner theorem for finite affine spaces

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Publication:1633289
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DOI10.1016/j.ffa.2018.09.008zbMath1401.05290OpenAlexW2896466256WikidataQ129107863 ScholiaQ129107863MaRDI QIDQ1633289

Jun Guo

Publication date: 19 December 2018

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2018.09.008


zbMATH Keywords

intersecting familyaffine spaceHilton-Milner theoremflat


Mathematics Subject Classification ID

Extremal set theory (05D05)




Cites Work

  • The Hilton-Milner theorem for the distance-regular graphs of bilinear forms
  • A Hilton-Milner theorem for vector spaces
  • Non-trivial intersecting families
  • The Erdős-Ko-Rado theorem for vector spaces
  • Intersection theorems for systems of finite vector spaces
  • Shadows and intersections in vector spaces
  • An analogue of the Hilton-Milner theorem for set partitions
  • The Erdős-Ko-Rado theorem for finite affine spaces
  • INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
  • AN ANALOGUE OF THE HILTON-MILNER THEOREM FOR WEAK COMPOSITIONS
  • SOME INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
  • Intersecting families of permutations
  • Unnamed Item
  • Unnamed Item




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