A tight analysis of Kierstead-Trotter algorithm for online unit interval coloring
Data Structures and Algorithms
2016-11-03 v1
Abstract
Kierstead and Trotter (Congressus Numerantium 33, 1981) proved that their algorithm is an optimal online algorithm for the online interval coloring problem. In this paper, for online unit interval coloring, we show that the number of colors used by the Kierstead-Trotter algorithm is at most , where is the size of the maximum clique in a given graph , and it is the best possible.
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Cite
@article{arxiv.1609.09031,
title = {A tight analysis of Kierstead-Trotter algorithm for online unit interval coloring},
author = {Tetsuya Araki and Koji M. Kobayashi},
journal= {arXiv preprint arXiv:1609.09031},
year = {2016}
}
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4 pages