An enhanced formulation for solving graph coloring problems with the Douglas-Rachford algorithm
Optimization and Control
2018-08-06 v1 Combinatorics
Abstract
We study the behavior of the Douglas-Rachford algorithm on the graph vertex-coloring problem. Given a graph and a number of colors, the goal is to find a coloring of the vertices so that all adjacent vertex pairs have different colors. In spite of the combinatorial nature of this problem, the Douglas-Rachford algorithm was recently shown to be a successful heuristic for solving a wide variety of graph coloring instances, when the problem was cast as a feasibility problem on binary indicator variables. In this work we consider a different formulation, based on semidefinite programming. The much improved performance of the Douglas-Rachford algorithm, with this new approach, is demonstrated through various numerical experiments.
Cite
@article{arxiv.1808.01022,
title = {An enhanced formulation for solving graph coloring problems with the Douglas-Rachford algorithm},
author = {F. J. Aragón Artacho and R. Campoy and V. Elser},
journal= {arXiv preprint arXiv:1808.01022},
year = {2018}
}