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SIAMDM
2010
123views more  SIAMDM 2010»
13 years 11 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
1992
ACM
109views Algorithms» more  SODA 1992»
14 years 1 months ago
New Algorithms for Minimum Area k-gons
Given a set P of n points in the plane, we wish to find a set Q P of k points for which the convex hull conv(Q) has the minimum area. We solve this, and the related problem of fi...
David Eppstein
ESA
2008
Springer
96views Algorithms» more  ESA 2008»
14 years 2 months ago
Stabbing Convex Polygons with a Segment or a Polygon
Let O = {O1, . . . , Om} be a set of m convex polygons in R2 with a total of n vertices, and let B be another convex k-gon. A placement of B, any congruent copy of B (without refle...
Pankaj K. Agarwal, Danny Z. Chen, Shashidhara K. G...