“School of Mathematics”
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| Paper IPM / M / 144 |
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| Abstract: | |||||||
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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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