On shortest k-edge-connected Steiner networks in metric spaces
文献类型：期刊论文
| 作者 | Du, XF; Hu, XD ; Jia, XH
|
| 刊名 | JOURNAL OF COMBINATORIAL OPTIMIZATION
 |
| 出版日期 | 2000-03-01 |
| 卷号 | 4期号:1页码:99-107 |
| 关键词 | k-edge-connectivity spanning networks Steiner networks Steiner ratio |
| ISSN号 | 1382-6905 |
| 英文摘要 | Given a set of points P in a metric space, let l(k)(P) denote the ratio of lengths between the shortest k-edge-connected Steiner network and the shortest k-edge-connected spanning network on P, and let r(k) = inf{l(k)(P) \ P} for k greater than or equal to 1. In this paper, we show that in any metric space, r(k) greater than or equal to 3/4 for k greater than or equal to 2, and there exists a polynomial-time alpha-approximation for the shortest k-edge-connected Steiner network, where alpha = 2 for even k and alpha = 2 + 4/(3k) for odd k. In the Euclidean plane, r(k) greater than or equal to root 3/2, r(3) less than or equal to (root 3+2)/4 and r(4) less than or equal to (7+3 root 3)/(9+2 root 3). |
| WOS研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000085622400005 |
| 出版者 | KLUWER ACADEMIC PUBL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15358]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Du, XF |
| 作者单位 | 1.Univ Qiqihaer, Dept Math, Heilongjiang, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, Beijing, Peoples R China 3.City Univ Hong Kong, Dept Comp Sci, Kowloon, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Du, XF,Hu, XD,Jia, XH. On shortest k-edge-connected Steiner networks in metric spaces[J]. JOURNAL OF COMBINATORIAL OPTIMIZATION,2000,4(1):99-107. |
| APA | Du, XF,Hu, XD,&Jia, XH.(2000).On shortest k-edge-connected Steiner networks in metric spaces.JOURNAL OF COMBINATORIAL OPTIMIZATION,4(1),99-107. |
| MLA | Du, XF,et al."On shortest k-edge-connected Steiner networks in metric spaces".JOURNAL OF COMBINATORIAL OPTIMIZATION 4.1(2000):99-107. |
入库方式： OAI收割
来源：数学与系统科学研究院
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