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COMPGEOM
2010
ACM
13 years 10 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
13 years 10 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
13 years 10 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
13 years 10 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
13 years 10 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...