By Raimund Seidel (auth.), Lars Arge, Rusins Freivalds (eds.)

This e-book constitutes the refereed complaints of the tenth Scandinavian Workshop on set of rules thought, SWAT 2006, held in Riga, Latvia, in July 2006.

The complaints contains 36 revised complete papers provided including three invited papers, addressing problems with theoretical algorithmics and functions in numerous fields together with graph algorithms, computational geometry, scheduling, approximation algorithms, community algorithms, facts garage and manipulation, combinatorics, sorting, looking, on-line algorithms, optimization, amd more.

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Extra resources for Algorithm Theory – SWAT 2006: 10th Scandinavian Workshop on Algorithm Theory, Riga, Latvia, July 6-8, 2006. Proceedings

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Graham. Bounds on multiprocessing anomalies and related packing algorithms. In Proc. 1972 Spring Joint Computer Conference, pages 205–217, 1972. 4. A. R. Karlin, M. S. Manasse, L. Rudolph, and D. D. Sleator. Competitive snoopy caching. Algorithmica, 3(1):79–119, 1988. 5. D. D. Sleator and R. E. Tarjan. Amortized efficiency of list update and paging rules. Comm. of the ACM, 28(2):202–208, 1985. 6. B. Vinter. Personal communication. html, 2006. 7. G. Zhang. A new version of on-line variable-sized bin packing.

6-approximation algorithm. 1 Introduction Online interval coloring has received much attention recently. In the basic problem, the nodes of an interval graph arrive online, one by one, together with the interval representation. e. intersecting intervals, are assigned distinct colors) with a minimum number of colors. , each new interval must be assigned a color upon arrival. This standard problem was studied by Kierstead and Trotter [14]. They constructed an online algorithm that uses at most 3ω − 2 colors where ω is the maximum clique size of the interval graph.

7. J. Csirik and G. J. Woeginger. On-line packing and covering problems. In A. Fiat and G. J. Woeginger, editors, Online Algorithms: The State of the Art, LNCS 1442, pages 147–177, 1998. 8. L. Epstein and M. Levy. Online interval coloring and variants. In Proceedings of the 32nd International Colloquium on Automata, Languages and Programming (ICALP’05), LNCS 3580, pages 602–613, 2005. 9. L. Epstein and M. Levy. Online interval coloring with packing constraints. In Proceedings of the 30th International Symposium on Mathematical Foundations of Computer Science (MFCS’05), LNCS 3618, pages 295–307, 2005.

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