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IJCGA
2002
73views more  IJCGA 2002»
13 years 7 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
STACS
2010
Springer
14 years 2 months ago
Long Non-crossing Configurations in the Plane
We revisit several maximization problems for geometric networks design under the non-crossing constraint, first studied by Alon, Rajagopalan and Suri (ACM Symposium on Computation...
Noga Alon, Sridhar Rajagopalan, Subhash Suri
CORR
2006
Springer
103views Education» more  CORR 2006»
13 years 7 months ago
Pants Decomposition of the Punctured Plane
A pants decomposition of an orientable surface is a collection of simple cycles that partition into pants, i.e., surfaces of genus zero with three boundary cycles. Given a set P...
Sheung-Hung Poon, Shripad Thite
SIAMCOMP
2000
97views more  SIAMCOMP 2000»
13 years 7 months ago
Dynamic Maintenance of Maxima of 2-d Point Sets
This paper describes an efficient scheme for the dynamic maintenance of the set of maxima of a 2-d set of points. Using the fact that the maxima can be stored in a staircase struct...
Sanjiv Kapoor
ISAAC
2004
Springer
125views Algorithms» more  ISAAC 2004»
14 years 22 days ago
Polyline Fitting of Planar Points Under Min-sum Criteria
Fitting a curve of a certain type to a given set of points in the plane is a basic problem in statistics and has numerous applications. We consider fitting a polyline with k join...
Boris Aronov, Tetsuo Asano, Naoki Katoh, Kurt Mehl...