Name: Hypergraphical t-designs
Creator: Ngo Dac Tuan
Keywords: Graphical designs, Hypergraphical designs, Discrete Mathematics and Combinatorics, 0102 computer and information sciences, 0101 mathematics, 01 natural sciences, Block designs, Theoretical Computer Science

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 2006 English Publisher:Elsevier BVJournal:Discrete Mathematics, volume 306, pages 1,189-1,197 (issn: 0012-365X,

Authors: Ngo Dac Tuan;

doi: 10.1016/j.disc.2005.10.033

Hypergraphical t-designs

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Abstract

AbstractWe introduce a theory of hypergraphical t-designs. We show the existence of these designs and prove a finiteness theorem on these designs for infinitely many parameter sets. We also give effective bounds on the number of points in these cases. These results generalize some results on graphical t-designs of Alltop, Chee and Betten–Klin–Laue–Wassermann.

Related Organizations

University of Paris-Saclay
France
French National Centre for Scientific Research
France
Paris 13 University
France
University of Paris
France
Département de Mathématiques
France

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Keywords

Graphical designs, Hypergraphical designs, Discrete Mathematics and Combinatorics, Block designs, Theoretical Computer Science

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