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arXiv · 1108.5645

Bases of schurian antisymmetric coherent configurations and isomorphism test for schurian tournaments

Ilya Ponomarenko
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Abstract

It is known that for any permutation group $G$ of odd order one can find a subset of the permuted set whose stabilizer in $G$ is trivial, and if $G$ is primitive, then also a base of size at most 3. Both of these results are generalized to the coherent configuration of $G$ (that is in this case a schurian antisymmetric coherent configuration). 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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Ilya Ponomarenko. 2011-08-29. Bases of schurian antisymmetric coherent configurations and isomorphism test for schurian tournaments. https://arxiv.org/abs/1108.5645

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