New approximation algorithm for RTILE problem
β Scribed by Krzysztof Lorys; Katarzyna E. Paluch
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 337 KB
- Volume
- 303
- Category
- Article
- ISSN
- 0304-3975
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β¦ Synopsis
For a given two-dimensional array of nonnegative numbers and a positive integer p we want to ΓΏnd a covering of the array with p tiles so as to minimize the weight of the heaviest tile. We present a 9 4 -approximation linear-time algorithm for this problem, which improves on the previous best result.
π SIMILAR VOLUMES
We give the first non-trivial approximation algorithms for the Steiner tree problem and the generalized Steiner network problem on general directed graphs. These problems have several applications in network design and multicast routing.
## Abstract In this article we study the __group Steiner network__ problem, which is defined in the following way. Given a graph __G__ = (__V,E__), a partition of its vertices into K groups and connectivity requirements between the different groups, the aim is to find simultaneously a set of repres