KMS Of Academy of mathematics and systems sciences, CAS
Progress on maximum weight triangulation | |
Chin, FYL; Qian, JB; Wang, CA | |
2004 | |
发表期刊 | COMPUTING AND COMBINATORICS, PROCEEDINGS |
ISSN | 0302-9743 |
卷号 | 3106页码:53-61 |
摘要 | In this paper, we investigate the maximum weight triangulation of a point set in the plane. We prove that the weight of maximum weight triangulation of any planar point set with diameter D is bounded above by ((2epsilon+2)(.)n + pi(1-2epsilon)/8epsilonroot1-epsilon(2) + pi/2 - 5(epsilon+1))D, where epsilon for 0 < epsilon less than or equal to 1/2 is a constant and n is the numb er of points in the set. If we use 'spoke-scan' algorithm to find a triangulation of the point set, we obtain an approximation ratio of 4.238. Furthermore, if the point set forms a 'semi-lune' or a 'semi-circled' convex polygon', then its maximum weight triangulation can be found in O(n(2)) time. |
关键词 | algorithm approximation maximum weight triangulation |
语种 | 英语 |
WOS研究方向 | Computer Science |
WOS类目 | Computer Science, Software Engineering ; Computer Science, Theory & Methods |
WOS记录号 | WOS:000223614000008 |
出版者 | SPRINGER-VERLAG BERLIN |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/19306 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Chin, FYL |
作者单位 | 1.Univ Hong Kong, Dept Comp Sci & Informat Syst, Hong Kong, Hong Kong, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, Beijing, Peoples R China 3.Mem Univ Newfoundland, Dept Comp Sci, St Johns, NF A1B 3X5, Canada |
推荐引用方式 GB/T 7714 | Chin, FYL,Qian, JB,Wang, CA. Progress on maximum weight triangulation[J]. COMPUTING AND COMBINATORICS, PROCEEDINGS,2004,3106:53-61. |
APA | Chin, FYL,Qian, JB,&Wang, CA.(2004).Progress on maximum weight triangulation.COMPUTING AND COMBINATORICS, PROCEEDINGS,3106,53-61. |
MLA | Chin, FYL,et al."Progress on maximum weight triangulation".COMPUTING AND COMBINATORICS, PROCEEDINGS 3106(2004):53-61. |
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