A tight analysis of Kierstead-Trotter algorithm for online unit interval coloring

September 28, 2016 Β· Declared Dead Β· πŸ› IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences

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Authors Tetsuya Araki, Koji M. Kobayashi arXiv ID 1609.09031 Category cs.DS: Data Structures & Algorithms Citations 0 Venue IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences Last Checked 5 months ago
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 $3 Ο‰(G) - 3$, where $Ο‰(G)$ is the size of the maximum clique in a given graph $G$, and it is the best possible.
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