Recent Advances on the Graph Isomorphism Problem

11/02/2020

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by   Martin Grohe, et al.

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We give an overview of recent advances on the graph isomorphism problem. Our main focus will be on Babai's quasi-polynomial time isomorphism test and subsequent developments that led to the design of isomorphism algorithms with a quasi-polynomial parameterized running time of the from n^polylog(k), where k is a graph parameter such as the maximum degree. A second focus will be the combinatorial Weisfeiler-Leman algorithm.