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COMPGEOM
1999
ACM
14 years 2 months ago
The Path of a Triangulation
We define the path of a pseudo-triangulation, a data structure generalizing the path of a triangulation of a point set. This structure allows us to use divide-andconquer type of ...
Oswin Aichholzer
COMPGEOM
2001
ACM
14 years 1 months ago
Balanced lines, halving triangles, and the generalized lower bound theorem
A recent result by Pach and Pinchasi on so-called balanced lines of a finite two-colored point set in the plane is related to other facts on halving triangles in 3-space and to a ...
Micha Sharir, Emo Welzl
COMPGEOM
2005
ACM
14 years 3 days ago
Incidences of not-too-degenerate hyperplanes
We present a multi-dimensional generalization of the Szemer´edi-Trotter Theorem, and give a sharp bound on the number of incidences of points and not-too-degenerate hyperplanes i...
György Elekes, Csaba D. Tóth
COMPGEOM
2008
ACM
13 years 12 months ago
A simple and efficient kinetic spanner
We present a kinetic data structure for maintaining a (1+ )-spanner of size O(n/2 ) for a set of n moving points in the plane. Assuming the trajectories of the points can be descr...
Mohammad Ali Abam, Mark de Berg, Joachim Gudmundss...
CCCG
2009
13 years 8 months ago
Streaming 1-Center with Outliers in High Dimensions
We study the 1-center problem with outliers in highdimensional data streams. The problem definition is as follows: given a sequence of n points in d dimensions (with d arbitrarily...
Hamid Zarrabi-Zadeh, Asish Mukhopadhyay