Recent Advances on the Graph Isomorphism Problem

2 Nov 2020  ·  Martin Grohe, Daniel Neuen ·

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 $n^{\text{polylog}(k)}$, where $k$ is a graph parameter such as the maximum degree. A second focus will be the combinatorial Weisfeiler-Leman algorithm.

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Data Structures and Algorithms Discrete Mathematics Combinatorics 05C85 F.2.2; G.2.2

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