A simple factor-3 approximation for labeling points with circles

doi:10.1016/S0020-0190(03)00256-4

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	A simple factor-3 approximation for labeling points with circles
	Jiang, MH ; Qian, JB ; Qin, ZP ; Zhu, BH ; Cimikowski, R
	2003-07-31
发表期刊	INFORMATION PROCESSING LETTERS
ISSN	0020-0190
卷号	87 期号:2 页码:101-105
摘要	In this paper we present a simple factor-(3 + epsilon), 0 < epsilon < 1, approximation algorithm, which runs in O(n log n + n(1/epsilon)(O(1/epsilon2)) log(D-3/epsilonD(2))) time, for the problem of labeling a set P of n distinct points with uniform circles. (D-2 is the closest pair Of P and D-3 is the minimum diameter of all subsets of P with size three.) This problem is known to be NP-hard. Our bound improves the previous factor of 3.6 + epsilon. (C) 2003 Elsevier Science B.V. All rights reserved.
关键词	approximation algorithms circle packing map labeling NP-hardness
DOI	10.1016/S0020-0190(03)00256-4
语种	英语
WOS研究方向	Computer Science
WOS类目	Computer Science, Information Systems
WOS记录号	WOS:000183573100008
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18296
专题	中国科学院数学与系统科学研究院
通讯作者	Zhu, BH
作者单位	1.Montana State Univ, Dept Comp Sci, Bozeman, MT 59717 USA 2.Chinese Acad Sci, Inst Appl Math, Beijing, Peoples R China 3.Huazhong Univ Sci & Technol, Dept Mat, Wuhan, Peoples R China
推荐引用方式 GB/T 7714	Jiang, MH,Qian, JB,Qin, ZP,et al. A simple factor-3 approximation for labeling points with circles[J]. INFORMATION PROCESSING LETTERS,2003,87(2):101-105.
APA	Jiang, MH,Qian, JB,Qin, ZP,Zhu, BH,&Cimikowski, R.(2003).A simple factor-3 approximation for labeling points with circles.INFORMATION PROCESSING LETTERS,87(2),101-105.
MLA	Jiang, MH,et al."A simple factor-3 approximation for labeling points with circles".INFORMATION PROCESSING LETTERS 87.2(2003):101-105.