CSpace
ON BETTER HEURISTICS FOR STEINER MINIMUM TREES
DU, DZ; ZHANG, YJ
1992-11-02
Source PublicationMATHEMATICAL PROGRAMMING
ISSN0025-5610
Volume57Issue:2Pages:193-202
AbstractFinding a shortest network interconnecting a given set of points in a metric space is called the Steiner minimum tree problem. The Steiner ratio is the largest lower bound for the ratio between lengths of a Steiner minimum tree and a minimum spanning tree for the same set of points. In this paper, we show that in a metric space, if the Steiner ratio is less than one and finding a Steiner minimum tree for a set of size bounded by a fixed number can be performed in polynomial time, then there exists a polynomial-time heuristic for the Steiner minimum tree problem with performance ratio bigger than the Steiner ratio. It follows that in the Euclidean plane, there exists a polynomial-time heuristic for Steiner minimum trees with performance ratio bigger than 1/2 square-root 3. This solves a long-standing open problem.
KeywordSTEINER TREES APPROXIMATION PERFORMANCE RATIO
Language英语
WOS Research AreaComputer Science ; Operations Research & Management Science ; Mathematics
WOS SubjectComputer Science, Software Engineering ; Operations Research & Management Science ; Mathematics, Applied
WOS IDWOS:A1992KE27800004
PublisherELSEVIER SCIENCE BV
Citation statistics
Cited Times:7[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/27692
Collection中国科学院数学与系统科学研究院
Affiliation1.CHINESE ACAD SCI,INST APPL MATH,BEIJING,PEOPLES R CHINA
2.SO METHODIST UNIV,DEPT COMP SCI,DALLAS,TX 75275
Recommended Citation
GB/T 7714
DU, DZ,ZHANG, YJ. ON BETTER HEURISTICS FOR STEINER MINIMUM TREES[J]. MATHEMATICAL PROGRAMMING,1992,57(2):193-202.
APA DU, DZ,&ZHANG, YJ.(1992).ON BETTER HEURISTICS FOR STEINER MINIMUM TREES.MATHEMATICAL PROGRAMMING,57(2),193-202.
MLA DU, DZ,et al."ON BETTER HEURISTICS FOR STEINER MINIMUM TREES".MATHEMATICAL PROGRAMMING 57.2(1992):193-202.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[DU, DZ]'s Articles
[ZHANG, YJ]'s Articles
Baidu academic
Similar articles in Baidu academic
[DU, DZ]'s Articles
[ZHANG, YJ]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[DU, DZ]'s Articles
[ZHANG, YJ]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.