Graph coloring with physics-inspired graph neural networks

We show how graph neural networks can be used to solve the canonical graph coloring problem. We frame graph coloring as a multiclass node classification problem and utilize an unsupervised training strategy based on the statistical physics Potts model. Generalizations to other multiclass problems su...

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Bibliographic Details
Main Authors: Martin J. A. Schuetz, J. Kyle Brubaker, Zhihuai Zhu, Helmut G. Katzgraber
Format: Article
Language:English
Published: American Physical Society 2022-11-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.4.043131