Progress on maximum weight triangulation
Chin, FYL; Qian, JB; Wang, CA
AbstractIn 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.
Keywordalgorithm approximation maximum weight triangulation
WOS Research AreaComputer Science
WOS SubjectComputer Science, Software Engineering ; Computer Science, Theory & Methods
WOS IDWOS:000223614000008
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Document Type期刊论文
Corresponding AuthorChin, FYL
Affiliation1.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
Recommended Citation
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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