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Paper   IPM / M / 144
School of Mathematics
  Title:   Classification of simple 2-(6,3) and 2-(7,3) trades
  Author(s): 
1.  G. B. Khosrovshahi
2.  H. R. Maimani
3.  R. Torabi
  Status:   Published
  Journal: Australas. J. Combin.
  Vol.:  19
  Year:  1999
  Pages:   55-72
  Supported by:  IPM
  Abstract:
In this paper, we present a complete classification of the simple 2-(v,3) trades, for v=6 and 7. For v=6, up to isomorphism, there are unique trades with volumes 4, 6, and 10 and trades with volumes 7-9 do not exist; for v=7, up to isomorphism, there exist two trades with volume 6, two trades with volume 7, two trades with volume 9, five trades with volume 10, and only one trade with volume 12. For v=7, trades with volumes 8 and 11 do not exist.

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