Cocliques in the Kneser graph on the point-hyperplane flags of a projective space

Abstract

We prove an Erdős-Ko-Rado-type theorem for the Kneser graph on the point-hyperplane flag in a finite projective space.

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References

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    J. W. P. Hirschfeld: Finite projective spaces of three dimensions, Oxford Univ. Press, 1985.

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    T. Mussche: Extremal combinatorics in generalized Kneser graphs, Ph.D. Thesis, Eindhoven University of Technology, 2009

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Correspondence to Aart Blokhuis.

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Dedicated to the memory of András Gács

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Blokhuis, A., Brouwer, A.E. & Güven, Ç. Cocliques in the Kneser graph on the point-hyperplane flags of a projective space. Combinatorica 34, 1–10 (2014). https://doi.org/10.1007/s00493-014-2779-y

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Mathematics Subject Classification (2000)

  • 05B25
  • 05C35
  • 51E20