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Graph Coloring: Comparing Cluster Graphs to Factor Graphs

Machine Learning 2021-10-06 v1

Abstract

We present a means of formulating and solving graph coloring problems with probabilistic graphical models. In contrast to the prevalent literature that uses factor graphs for this purpose, we instead approach it from a cluster graph perspective. Since there seems to be a lack of algorithms to automatically construct valid cluster graphs, we provide such an algorithm (termed LTRIP). Our experiments indicate a significant advantage for preferring cluster graphs over factor graphs, both in terms of accuracy as well as computational efficiency.

Keywords

Cite

@article{arxiv.2110.02048,
  title  = {Graph Coloring: Comparing Cluster Graphs to Factor Graphs},
  author = {Simon Streicher and Johan du Preez},
  journal= {arXiv preprint arXiv:2110.02048},
  year   = {2021}
}
R2 v1 2026-06-24T06:38:10.404Z