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

ISBN-10: 354035753X

ISBN-13: 9783540357537

This publication constitutes the refereed court cases of the tenth Scandinavian Workshop on set of rules idea, SWAT 2006, held in Riga, Latvia, in July 2006.

The lawsuits contains 36 revised complete papers provided including three invited papers, addressing problems with theoretical algorithmics and functions in a variety of fields together with graph algorithms, computational geometry, scheduling, approximation algorithms, community algorithms, information garage and manipulation, combinatorics, sorting, looking out, 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**

**Example text**

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. Whenever the algorithm opens a new color, it must choose the capacity for that color and cannot change it later. The goal is to minimize the total capacity of all the colors used. We consider the bounded model, where all capacities must be chosen in the range (0, 1], and the unbounded model, where the algorithm may use colors of any positive capacity.

Whenever the algorithm opens a new color, it must choose the capacity for that color and cannot change it later. The goal is to minimize the total capacity of all the colors used. We consider the bounded model, where all capacities must be chosen in the range (0, 1], and the unbounded model, where the algorithm may use colors of any positive capacity. 59 for the bounded model, and an upper bound of 4 and a matching lower bound of 4 for the unbounded model. 6-approximation algorithm. 1 Introduction Online interval coloring has received much attention recently.

Lemma 2. For every m, the set Am of intervals that were allocated to class m has a maximum load of at most 2(b+ ). If all intervals have the same bandwidth, b, and is divisible by b, the set Am of intervals that were allocated to class m has a maximum load of at most 2 . Lemma 3. The number of classes used by the algorithm is at most ω ∗ is the maximum load. 1 L. Epstein, T. Erlebach, and A. Levin Online Algorithms The Unbounded Model Our algorithm for the unbounded model simply uses standard doubling (see [3, 2]).

### 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.)

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