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COMPGEOM
2009
ACM
15 years 4 months ago
A general approach for cache-oblivious range reporting and approximate range counting
We present cache-oblivious solutions to two important variants of range searching: range reporting and approximate range counting. Our main contribution is a general approach for ...
Peyman Afshani, Chris H. Hamilton, Norbert Zeh
COMPGEOM
2000
ACM
15 years 2 months ago
A trace bound for the hereditary discrepancy
Let A be the incidence matrix of a set system with m sets and n points, m ≤ n, and let t = tr M, where M = AT A. Finally, let σ = tr M2 be the sum of squares of the elements of ...
Bernard Chazelle, Alexey Lvov
96
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COMPGEOM
1996
ACM
15 years 1 months ago
Convex Drawings of Graphs in Two and Three Dimensions (Preliminary Version)
We provideO(n)-timealgorithmsfor constructingthe following types of drawings of n-vertex 3-connectedplanar graphs: 2D convex grid drawings with (3n) (3n=2) area under the edge L1-...
Marek Chrobak, Michael T. Goodrich, Roberto Tamass...
COMPGEOM
1996
ACM
15 years 1 months ago
Flipping Edges in Triangulations
A triangulation of a point set Pn is a partitioning of the convex hull Conv(Pn) into a set of triangles with disjoint interiors such that the vertices of these triangles are in Pn...
Ferran Hurtado, Marc Noy, Jorge Urrutia
COMPGEOM
2007
ACM
15 years 1 months ago
Guard placement for efficient point-in-polygon proofs
We consider the problem of placing a small number of angle guards inside a simple polygon P so as to provide efficient proofs that any given point is inside P. Each angle guard vi...
David Eppstein, Michael T. Goodrich, Nodari Sitchi...