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COMPGEOM
2010
ACM
14 years 2 months ago
2010
ACM
d Abstract] György Elekes Eötvös University Micha Sharir Tel Aviv University and New York University We first describe a reduction from the problem of lower-bounding the numbe...
COMPGEOM
2010
ACM
14 years 2 months ago
2010
ACM
We revisit one of the most fundamental classes of data structure problems in computational geometry: range searching. Back in SoCG’92, Matouˇsek gave a partition tree method fo...
COMPGEOM
2010
ACM
14 years 2 months ago
2010
ACM
We study the expected number of interior vertices of degree i in a triangulation of a point set S, drawn uniformly at random from the set of all triangulations of S, and derive va...
COMPGEOM
2010
ACM
14 years 2 months ago
2010
ACM
In this paper, we introduce a simple, randomized dynamic data structure for storing multidimensional point sets, called a quadtreap. This data structure is a randomized, balanced ...
COMPGEOM
2010
ACM
14 years 2 months ago
2010
ACM
Let D be a weighted directed graph cellularly embedded in a surface of genus g, orientable or not, possibly with boundary. We describe algorithms to compute a shortest non-contrac...