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SIAMDM
2010
123views more  SIAMDM 2010»
13 years 7 months ago
Large Bichromatic Point Sets Admit Empty Monochromatic 4-Gons
We consider a variation of a problem stated by Erd˝os and Szekeres in 1935 about the existence of a number fES (k) such that any set S of at least fES (k) points in general posit...
Oswin Aichholzer, Thomas Hackl, Clemens Huemer, Fe...
SODA
2007
ACM
76views Algorithms» more  SODA 2007»
13 years 10 months ago
An unbiased pointing operator for unlabeled structures, with applications to counting and sampling
We introduce a general method to count and randomly sample unlabeled combinatorial structures. The approach is based on pointing unlabeled structures in an “unbiased” way, i.e...
Manuel Bodirsky, Éric Fusy, Mihyun Kang, St...
IEICET
2006
55views more  IEICET 2006»
13 years 9 months ago
Inserting Points Uniformly at Every Instance
A problem of arranging n points as uniformly as possible, which is equivalent to that of packing n equal and non-overlapping circles in a unit square, is frequently asked. In this ...
Sachio Teramoto, Tetsuo Asano, Naoki Katoh, Benjam...
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
2007
13 years 10 months ago
Optimal Point Set Partitioning using Rigid Motion Star Placement
We consider the problem of determining the placement of a star R on a set P of n points in the plane such that a given objective function is maximized. A star R is a set of m rays...
Prosenjit Bose, Jason Morrison