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arXiv · 1802.04659

A Faster Isomorphism Test for Graphs of Small Degree

Martin Grohe·Daniel Neuen·Pascal Schweitzer
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Abstract

In a recent breakthrough, Babai (STOC 2016) gave a quasipolynomial time graph isomorphism test. In this work, we give an improved isomorphism test for graphs of small degree: our algorithms runs in time $n^{O((\log d)^{c})}$, where $n$ is the number of vertices of the input graphs, $d$ is the maximum degree of the input graphs, and $c$ is an absolute constant. The best previous isomorphism test for graphs of maximum degree $d$ due to Babai, Kantor and Luks (FOCS 1983) runs in time $n^{O(d/ \log d)}$.

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BibTeXRIS

Martin Grohe, Daniel Neuen, Pascal Schweitzer. 2018-02-13. A Faster Isomorphism Test for Graphs of Small Degree. https://doi.org/10.1137/19m1245293

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