On Some Proximity Problems of Colored Sets
文献类型:期刊论文
作者 | Fan, Cheng-Lin; Luo, Jun; Wang, Wen-Cheng; Zhong, Fa-Rong; Zhu, Binhai |
刊名 | JOURNAL OF COMBINATORIAL OPTIMIZATION
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出版日期 | 2014 |
英文摘要 | The maximum diameter color-spanning set problem (MaxDCS) is defined as follows: given n points with m colors, select m points with m distinct colors such that the diameter of the set of chosen points is maximized. In this paper, we design an optimal O(n log n) time algorithm using rotating calipers for MaxDCS in the plane. Our algorithm can also be used to solve the maximum diameter problem of imprecise points modeled as polygons. We also give an optimal algorithm for the all farthest foreign neighbor problem (AFFN) in the plane, and propose algorithms to answer the farthest foreign neighbor query (FFNQ) ofcolored sets in two- and three-dimensional space. Furthermore, we study the problem of computing the closest pair of color-spanning set (CPCS) in d-dimensional space, and remove the log m factor in the best known time bound if d is a constant. |
收录类别 | SCI |
原文出处 | http://link.springer.com/article/10.1007%2Fs11390-014-1475-0 |
语种 | 英语 |
源URL | [http://ir.siat.ac.cn:8080/handle/172644/5957] ![]() |
专题 | 深圳先进技术研究院_数字所 |
作者单位 | JOURNAL OF COMBINATORIAL OPTIMIZATION |
推荐引用方式 GB/T 7714 | Fan, Cheng-Lin,Luo, Jun,Wang, Wen-Cheng,et al. On Some Proximity Problems of Colored Sets[J]. JOURNAL OF COMBINATORIAL OPTIMIZATION,2014. |
APA | Fan, Cheng-Lin,Luo, Jun,Wang, Wen-Cheng,Zhong, Fa-Rong,&Zhu, Binhai.(2014).On Some Proximity Problems of Colored Sets.JOURNAL OF COMBINATORIAL OPTIMIZATION. |
MLA | Fan, Cheng-Lin,et al."On Some Proximity Problems of Colored Sets".JOURNAL OF COMBINATORIAL OPTIMIZATION (2014). |
入库方式: OAI收割
来源:深圳先进技术研究院
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