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The Cartographer
A Faster Isomorphism Test for Graphs of Small Degree
February 13, 2018 Β· Declared Dead Β· π IEEE Annual Symposium on Foundations of Computer Science
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Authors
Martin Grohe, Daniel Neuen, Pascal Schweitzer
arXiv ID
1802.04659
Category
cs.DS: Data Structures & Algorithms
Cross-listed
cs.DM,
math.CO,
math.GR
Citations
33
Venue
IEEE Annual Symposium on Foundations of Computer Science
Last Checked
3 months ago
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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