Geodesic
Almost all Steiner triple systems are almost resolvable
Forum of Mathematics, Sigma, Tome 8 (2020)

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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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     author = {Asaf Ferber and Matthew Kwan},
     title = {Almost all {Steiner} triple systems are almost resolvable},
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Asaf Ferber; Matthew Kwan. Almost all Steiner triple systems are almost resolvable. Forum of Mathematics, Sigma, Tome 8 (2020). doi: 10.1017/fms.2020.29

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