Title
On Some Proximity Problems of Colored Sets.
Abstract
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 problem 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) of colored 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 factor log m of the best known time bound if we treat d as a constant. © Springer International Publishing 2013.
Year
DOI
Venue
2013
10.1007/978-3-319-03780-6_18
J. Comput. Sci. Technol.
Keywords
DocType
Volume
computational geometry, colored set, algorithm, maximum diameter color-spanning set problem
Conference
29
Issue
ISSN
Citations 
5
16113349
1
PageRank 
References 
Authors
0.35
19
10
Name
Order
Citations
PageRank
Chenglin Fan1287.24
Jun Luo222226.61
Wencheng Wang327037.99
Farong Zhong44611.94
Binhai Zhu5903109.96
范成林610.35
罗军710.35
王文成8151.65
钟发荣910.35
朱滨海1010.35