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arXiv · 1804.04609

Conjugacy for homogeneous ordered graphs

Samuel Coskey·Paul Ellis
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Abstract

We show that for any countable homogeneous ordered graph $G$, the conjugacy problem for automorphisms of $G$ is Borel complete. In fact we establish that each such $G$ satisfies a strong extension property called ABAP, which implies that the isomorphism relation on substructures of $G$ is Borel reducible to the conjugacy relation on automorphisms of $G$.

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Samuel Coskey, Paul Ellis. 2018-04-12. Conjugacy for homogeneous ordered graphs. https://doi.org/10.1007/s00153-018-0645-0

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