Comparing First-Fit and Next-Fit for Online Edge Coloring

@article{Ehmsen2008ComparingFA,
  title={Comparing First-Fit and Next-Fit for Online Edge Coloring},
  author={Martin R. Ehmsen and Lene M. Favrholdt and Jens S. Kohrt and Rodica Mihai},
  journal={Theor. Comput. Sci.},
  year={2008},
  volume={411},
  pages={1734-1741}
}
We study the performance of the algorithms First-Fit and Next-Fit for two online edge coloring problems. In the min-coloring problem, all edges must be colored using as few colors as possible. In the max-coloring problem, a fixed number of colors is given, and as many edges as possible should be colored. Previous analysis using the competitive ratio has not… CONTINUE READING