By Raimund Seidel (auth.), Lars Arge, Rusins Freivalds (eds.)
This publication constitutes the refereed complaints of the tenth Scandinavian Workshop on set of rules thought, SWAT 2006, held in Riga, Latvia, in July 2006.
The court cases comprises 36 revised complete papers awarded including three invited papers, addressing problems with theoretical algorithmics and purposes in numerous fields together with graph algorithms, computational geometry, scheduling, approximation algorithms, community algorithms, information garage and manipulation, combinatorics, sorting, looking, on-line algorithms, optimization, amd more.
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Additional info for Algorithm Theory – SWAT 2006: 10th Scandinavian Workshop on Algorithm Theory, Riga, Latvia, July 6-8, 2006. Proceedings
Mao, B. Mishra, A. Raghunathan, L. E. Rosier, D. Shasha, and F. Wang. On the competitiveness of on-line real-time task scheduling. Real-Time Systems, 4(2):125–144, 1992. ´ 4. M. Chrobak and M. Slusarek. On some packing problems relating to dynamical storage allocation. RAIRO Journal on Information Theory and Applications, 22:487–499, 1988. 5. E. G. Coﬀman, M. R. Garey, and D. S. Johnson. Approximation algorithms for bin packing: A survey. In D. Hochbaum, editor, Approximation algorithms. PWS Publishing Company, 1997.
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. Discrete Applied Mathematics, 72:193–197, 1997. il Abstract. We consider online coloring of intervals with bandwidth in a setting where colors have variable capacities.
By Lemma 3, no two items in U could be combined in b. Since bn is smaller than b the same is clearly true of bn . Furthermore, each item in U is larger than e(b), so no item in U can be combined with yn in bn . Thus, to prove that FFDα will place yn in bn , we just need to prove that there is no item x ∈ U with |yn | < |x| ≤ |yn | + e(b). Assume for the sake of contradiction that such an item, x, exists. If |yn | ≥ 13 |b|, |x| + |yn | > 23 |b|, and this combination would be tried when packing b, unless an even better combination were found.
Algorithm Theory – SWAT 2006: 10th Scandinavian Workshop on Algorithm Theory, Riga, Latvia, July 6-8, 2006. Proceedings by Raimund Seidel (auth.), Lars Arge, Rusins Freivalds (eds.)