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arXiv · 1907.06744

Almost all Steiner triple systems are almost resolvable

Asaf Ferber·Matthew Kwan
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Abstract

We show that for any n divisible by 3, almost all order-n Steiner triple systems admit a decomposition of almost all their triples into disjoint perfect matchings (that is, almost all Steiner triple systems are almost resolvable).

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Asaf Ferber, Matthew Kwan. 2020-07-30. Almost all Steiner triple systems are almost resolvable. https://doi.org/10.1017/fms.2020.29

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