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Approximations of Isomorphism and Logics with Linear-Algebraic Operators
[article]

2019
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arXiv
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pre-print

Invertible map equivalences are approximations of graph isomorphism that refine the well-known Weisfeiler-Leman method. They are parametrised by a number k and a set Q of primes. The intuition is that two graphs G and H which are equivalent with respect to k-Q-IM-equivalence cannot be distinguished by a refinement of k-tuples given by linear operators acting on vector spaces over fields of characteristic p, for any p in Q. These equivalences first appeared in the study of rank logic, but in

arXiv:1902.06648v2
fatcat:dmyz6u4rqnhv3olcegxtmfe4oq