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Sperner families satisfying additional conditions and their convex hulls

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Abstract

The profile of a hypergraph onn vertices is (f 0,...,f n ) wheref i denotes the number ofi-element edges. The extreme points of the set of the profiles are determined for Sperner hypergraphs satisfying some additional conditions. The results contain some old theorems of extremal set theory as particular cases.

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Authors and Affiliations

  1. Section Mathematik, Wilhelm-Pieck-Universität, 2500, Rostock, German Democratic Republic

    Konrad Engel

  2. Mathematical Institute of the Hungarian Academy of Sciences, P.O.B. 127, H-1364, Budapest, Hungary

    Péter L. Erdös

Authors
  1. Konrad Engel
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  2. Péter L. Erdös
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Engel, K., Erdös, P.L. Sperner families satisfying additional conditions and their convex hulls. Graphs and Combinatorics 5, 47–56 (1989). https://doi.org/10.1007/BF01788657

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  • DOI: https://doi.org/10.1007/BF01788657

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