A tight analysis of Kierstead-Trotter algorithm for online unit interval coloring
September 28, 2016 Β· Declared Dead Β· π 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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