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IJCGA
2002
73views more  IJCGA 2002»
13 years 8 months ago
A Simple Factor-2/3 Approximation Algorithm for Two-Circle Point Labeling
Given a set P of n points in the plane, the two-circle point-labeling problem consists of placing 2n uniform, non-intersecting, maximum-size open circles such that each point touc...
Alexander Wolff, Michael Thon, Yin-Feng Xu
CCCG
2009
13 years 9 months ago
Data Structures for Range Aggregation by Categories
We solve instances of a general class of problems defined as follows: Preprocess a set S of possibly weighted colored geometric objects (e.g. points/orthogonal segments/rectangles...
Saladi Rahul, Prosenjit Gupta, K. S. Rajan
ALGORITHMICA
2002
93views more  ALGORITHMICA 2002»
13 years 8 months ago
Improved Algorithms for Uniform Partitions of Points
We consider the following one- and two-dimensional bucketing problems: Given a set S of n points in R1 or R2 and a positive integer b, distribute the points of S into b equal-size ...
Pankaj K. Agarwal, Binay K. Bhattacharya, Sandeep ...
SIAMDM
2008
190views more  SIAMDM 2008»
13 years 8 months ago
On the Complexity of Ordered Colorings
We introduce two variants of proper colorings with imposed partial ordering on the set of colors. One variant shows very close connections to some fundamental problems in graph the...
Arvind Gupta, Jan van den Heuvel, Ján Manuc...
WADS
2007
Springer
184views Algorithms» more  WADS 2007»
14 years 2 months ago
A Pseudopolynomial Time O (log n )-Approximation Algorithm for Art Gallery Problems
In this paper, we give a O(log copt)-approximation algorithm for the point guard problem where copt is the optimal number of guards. Our algorithm runs in time polynomial in n, the...
Ajay Deshpande, Taejung Kim, Erik D. Demaine, Sanj...