Those independence systems on finite partially ordered sets are characterized for which the greedy algorithm always works. 'Fhe greedy ulgsrithm far gtartIally ordered fete
Improved performance of the greedy algorithm for partial cover
✍ Scribed by Petr Slavík
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 332 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0020-0190
No coin nor oath required. For personal study only.
✦ Synopsis
We prove that the classical bounds on the performance of the greedy algorithm for approximating MINIMUM COVER with costs are valid for PARTIAL. COVER as well, thus lowering, by more than a factor of two, the previously known estimate. In order to do so, we introduce a new simple technique that might be useful for attacking other similar problems. @
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We establish significantly improved bounds on the performance of the greedy algorithm for approximating set co¨er. In particular, we provide the first substantial Ž . improvement of the 20-year-old classical harmonic upper bound, H m , of Johnson, Lovasz, and Chvatal, by showing that the performance
In the paper some problems connected with a process of knowledge discovery are considered. These problems are reduced to the set cover problem. It is known that under a plausible assumption on the class \(N P\) the greedy algorithm is close to best approximate polynomial algorithms for the set cover