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Erdős–Ko–Rado and Hilton–Milner Type Theorems for Intersecting Chains in Posets

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t

-intersecting k-chains in posets using the kernel method. These results are common generalizations of the original EKR and HM theorems, and our earlier results for intersecting k-chains in the Boolean algebra. For intersecting k-chains in the c-truncated Boolean algebra we also prove an exact EKR type theorem (for all n) using the shift method. An application of the general theorem gives a similar result for t-intersecting chains if n is large enough.

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Authors and Affiliations

  1. Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences; Budapest, 1053 Hungary; E-mail: elp@math-inst.hu, , , , , , HU

    Péter L. Erdős

  2. Department of Mathematics, The Ohio State University; Columbus, OH 43210, USA; E-mail: akos@math.ohio-state.edu, , , , , , US

    Ákos Seress

  3. Department of Mathematics, University of South Carolina; Columbia, SC 29208, USA; E-mail: laszlo@math.sc.edu, , , , , , US

    László A. Székely

Authors
  1. Péter L. Erdős
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  2. Ákos Seress
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  3. László A. Székely
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Received November 20, 1997

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Erdős, P., Seress, Á. & Székely, L. Erdős–Ko–Rado and Hilton–Milner Type Theorems for Intersecting Chains in Posets. Combinatorica 20, 27–45 (2000). https://doi.org/10.1007/s004930070029

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  • DOI: https://doi.org/10.1007/s004930070029

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