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cs.DS2023
Isomorphism for Tournaments of Small Twin Width
Martin Grohe, Daniel Neuen
We prove that isomorphism of tournaments of twin width at most can be decided in time . This implies that the isomorphism problem for classes of tourname…
cs.DM2023
Compressing CFI Graphs and Lower Bounds for the Weisfeiler-Leman Refinements
Martin Grohe, Moritz Lichter, Daniel Neuen +1
The -dimensional Weisfeiler-Leman (-WL) algorithm is a simple combinatorial algorithm that was originally designed as a graph isomorphism heuristic. It naturally finds applic…
cs.DS2023★ 3 cited
The Iteration Number of the Weisfeiler-Leman Algorithm
Martin Grohe, Moritz Lichter, Daniel Neuen
We prove new upper and lower bounds on the number of iterations the -dimensional Weisfeiler-Leman algorithm (-WL) requires until stabilization. For , we show that $…