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Paper IPM / M / 447 |
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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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