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COMPGEOM
2009
ACM
16 years 15 days 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 10 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
COMPGEOM
1996
ACM
15 years 10 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 10 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 10 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...