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“School of Mathematics”

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Paper   IPM / M / 447
School of Mathematics
  Title:   On 2-(v,3) trades of minimum volume
  Author(s): 
1.  B. Tayfeh-Rezaie
2.  Z. Eslami
  Status:   Published
  Journal: Australas. J. Combin.
  Vol.:  19
  Year:  1999
  Pages:   239-251
  Supported by:  IPM
  Abstract:
In this paper, Steiner and non-Steiner 2-(v,3) trades of minimum volume are considered. It is shown that these trades are composed of a union of some Pasch configurations and possibly some 2-(v′,3) trades with 6 ≤ v′ ≤ 10. We determine the number of non-isomorphic Steiner 2-(v,3) trades of minimum volume. As for non-Steiner trades the same thing is done for all v, except for v ≡ 5 (mod 6).


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