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» Generalized Functionality for Arithmetic Discrete Planes
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COMPGEOM
2000
ACM
13 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
1994
ACM
13 years 10 months ago
Computing Envelopes in Four Dimensions with Applications
Let F be a collection of n d-variate, possibly partially defined, functions, all algebraic of some constant maximum degree. We present a randomized algorithm that computes the vert...
Pankaj K. Agarwal, Boris Aronov, Micha Sharir
COMPGEOM
2004
ACM
13 years 11 months ago
On locally Delaunay geometric graphs
A geometric graph is a simple graph G = (V, E) with an embedding of the set V in the plane such that the points that represent V are in general position. A geometric graph is said...
Rom Pinchasi, Shakhar Smorodinsky
STACS
1999
Springer
13 years 10 months ago
Lower Bounds for Dynamic Algebraic Problems
Abstract. We consider dynamic evaluation of algebraic functions (matrix multiplication, determinant, convolution, Fourier transform, etc.) in the model of Reif and Tate; i.e., if f...
Gudmund Skovbjerg Frandsen, Johan P. Hansen, Peter...