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Exact Bounds on Cross-Intersecting Families

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Abstract.

 Let ?, ℬ be cross-intersecting families, where ? is a k-uniform, ℬ is an l-uniform family on a finite underlying set. A tight bound is given on |?|+|ℬ|, if c≤|?|≤d holds for some natural numbers c,d.

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Authors and Affiliations

  1. Mathematical Institute of the Hungarian Academy of Sciences, H-1053 Budapest, Reáltanoda u. 13-15, Hungary. e-mail: ksvlcs@renyi.hu, , , , , , HU

    Ákos Kisvölcsey

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  1. Ákos Kisvölcsey
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Received: February 8, 1999 Final version received: May 17, 2000

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Kisvölcsey, Á. Exact Bounds on Cross-Intersecting Families. Graphs Comb 17, 275–287 (2001). https://doi.org/10.1007/PL00007246

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  • DOI: https://doi.org/10.1007/PL00007246

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