We study interval coloring problems and present new upper and lower bounds for several variants. We are interested in four problems, online coloring of intervals with and without bandwidth and a new problem called lazy online coloring again with and without bandwidth. We consider both general interval graphs and unit interval graphs. Specifically, we establish the difference between the two main problems which are interval coloring with and without bandwidth. We present the first non-trivial lower bound of 3.2609 for the problem with band-width. This improves the lower bound of 3 that follows from the tight results for interval coloring without bandwidth presented in [9]. © Springer-Verlag Berlin Heidelberg 2005.
CITATION STYLE
Epstein, L., & Levy, M. (2005). Online interval coloring and variants. In Lecture Notes in Computer Science (Vol. 3580, pp. 602–613). Springer Verlag. https://doi.org/10.1007/11523468_49
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