Complexity and approximation of the connected set-cover problem
- Authors
- Zhang, Wei; Wu, Weili; Lee, Wonjun; Du, Ding-Zhu
- Issue Date
- Jul-2012
- Publisher
- SPRINGER
- Keywords
- Connected set-cover; Computational complexity; Approximation algorithms
- Citation
- JOURNAL OF GLOBAL OPTIMIZATION, v.53, no.3, pp.563 - 572
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF GLOBAL OPTIMIZATION
- Volume
- 53
- Number
- 3
- Start Page
- 563
- End Page
- 572
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/108118
- DOI
- 10.1007/s10898-011-9726-x
- ISSN
- 0925-5001
- Abstract
- In this paper, we study the computational complexity and approximation complexity of the connected set-cover problem. We derive necessary and sufficient conditions for the connected set-cover problem to have a polynomial-time algorithm. We also present a sufficient condition for the existence of a (1 + ln delta)-approximation. In addition, one such (1 + ln delta)-approximation algorithm for this problem is proposed. Furthermore, it is proved that there is no polynomial-time -approximation for any for the connected set-cover problem on general graphs, unless NP has an quasi-polynomial Las-Vegas algorithm.
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