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Paper   IPM / M / 44
   School of Mathematics
  Title: On maximum size anti-Pasch sets of triples
  Author(s):
1 . S. Shahriari
2 . S. Akbari
3 . G. B. Khosrovshahi
4 . Ch. Maysoori
  Status: Published
  Journal: London Math. Soc. Lecture Note Ser.
  Year: 1997
  Pages: 7-14
  Editor: Geometry, Combinatorial Design and Related Structure (J.W.P. Hirsilhfeld, S.S. Magliveras and M.J. de Resmini, eds.)
  Publisher(s): Cambridge
  Supported by: IPM
  Abstract:
Given an n-set X, we denote the cardinality of a maximum size anti-Pasch (Pasch free) set of triples of X by f(n). In this paper we provide lower and upper bounds for f(n) and consequently we disprove a conjecture posed by Khosrovshahi at the fifteenth British Combinatorial Conference (BCC15).

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