@article{Furmańczyk_Hanna_Equitable_2015,
author={Furmańczyk, Hanna and Kubale, Marek},
number={No 1},
howpublished={online},
journal={Archives of Control Sciences},
year={2015},
publisher={Committee of Automatic Control and Robotics PAS},
abstract={Abstract
In the paper we consider the problems of equitable and semi-equitable coloring of vertices of cubic graphs. We show that in contrast to the equitable coloring, which is easy, the problem of semi-equitable coloring is NP-complete within a broad spectrum of graph parameters. This affects the complexity of batch scheduling of unit-length jobs with cubic incompatibility graph on three uniform processors to minimize the makespan.},
title={Equitable and semi-equitable coloring of cubic graphs and its application in batch scheduling},
doi={10.1515/acsc-2015-0007},
}