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arXiv · 1211.0297

A Note on Circular Arc Online Coloring using First Fit

Paraskevas V. Lekeas
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Abstract

In Raman (2007), using a column construction technique it is proved that every interval graph can be colored online with First Fit with at most $8w(G)$ colors, where $w(G)$ is the size of the maximum clique of $G$. Since the column construction can not be adapted to circular arc graphs we give a different proof to establish an upper bound of $9w(G)$ for online coloring a circular arc graph $G$ with the First Fit algorithm.

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Paraskevas V. Lekeas. 2013-12-04. A Note on Circular Arc Online Coloring using First Fit. https://arxiv.org/abs/1211.0297

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