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Bases of schurian antisymmetric coherent configurations and isomorphism test for schurian tournaments
Zapiski Nauchnykh Seminarov POMI, Combinatorics and graph theory. Part IV, Tome 402 (2012), pp. 108-147

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It is known that for any permutation group $G$ of odd order there exists a subset of the permuted set whose stabilizer in $G$ is trivial, and if $G$ is primitive, then there also exists a base of size at most 3. These results are generalized to the coherent configuration of $G$, that is in this case schurian and antisymmetric. This enables us to construct a polynomial-time algorithm for recognizing and isomorphism testing of schurian tournaments (i.e., arc colored tournaments the coherent configurations of which are schurian). 
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     title = {Bases of schurian antisymmetric coherent configurations and isomorphism test for schurian tournaments},
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I. N. Ponomarenko. Bases of schurian antisymmetric coherent configurations and isomorphism test for schurian tournaments. Zapiski Nauchnykh Seminarov POMI, Combinatorics and graph theory. Part IV, Tome 402 (2012), pp. 108-147. http://geodesic.mathdoc.fr/item/ZNSL_2012_402_a7/