Geodesic
Counting unlabelled topologies and transitive relations
Journal of integer sequences, Tome 8 (2005) no. 2
We enumerate isomorphism classes of several types of transitive relations (equivalently, finite topologies) up to 15 or 16 points.
Classification : 06A99, 05C20, 05C30
Keywords: transitive relation, finite topology, order, directed graph 
@article{JIS_2005__8_2_a6,
     author = {Brinkmann,  Gunnar and McKay,  Brendan D.},
     title = {Counting unlabelled topologies and transitive relations},
     journal = {Journal of integer sequences},
     year = {2005},
     volume = {8},
     number = {2},
     zbl = {1064.05068},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2005__8_2_a6/}
}
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Brinkmann,  Gunnar; McKay,  Brendan D. Counting unlabelled topologies and transitive relations. Journal of integer sequences, Tome 8 (2005) no. 2. http://geodesic.mathdoc.fr/item/JIS_2005__8_2_a6/