English

A Dynamically Turbo-Charged Greedy Heuristic for Graph Coloring

Data Structures and Algorithms 2019-02-26 v2 Discrete Mathematics

Abstract

We introduce a dynamic version of the graph coloring problem and prove its fixed-parameter tractability with respect to the edit-parameter. This is used to present a {\em turbo-charged} heuristic for the problem that works by combining the turbo-charging technique with other standard heuristic tools, including greedy coloring. The recently introduced turbo-charging idea is further enhanced in this paper by introducing a dynamic version of the so called {\em moment of regret} and {\em rollback points}. Experiments comparing our turbo-charging algorithm to other heuristics demonstrate its effectiveness. Our algorithm often produced results that were either exact or better than all the other available heuristics.

Keywords

Cite

@article{arxiv.1812.11254,
  title  = {A Dynamically Turbo-Charged Greedy Heuristic for Graph Coloring},
  author = {Faisal N. Abu-Khzam and Bachir M. Chahine},
  journal= {arXiv preprint arXiv:1812.11254},
  year   = {2019}
}
R2 v1 2026-06-23T06:58:31.211Z