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» Empirical Design of Geometric Algorithms
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COMPGEOM
2004
ACM
14 years 26 days ago
The geometric thickness of low degree graphs
We prove that the geometric thickness of graphs whose maximum degree is no more than four is two. In our proofs, we present a space and time efficient embedding technique for gra...
Christian A. Duncan, David Eppstein, Stephen G. Ko...
MOC
2002
78views more  MOC 2002»
13 years 7 months ago
A geometric theory for preconditioned inverse iteration applied to a subspace
ABSTRACT. The aim of this paper is to provide a convergence analysis for a preconditioned subspace iteration, which is designated to determine a modest number of the smallest eigen...
Klaus Neymeyr
SODA
2012
ACM
243views Algorithms» more  SODA 2012»
11 years 9 months ago
Bidimensionality and geometric graphs
Bidimensionality theory was introduced by Demaine et al. [JACM 2005 ] as a framework to obtain algorithmic results for hard problems on minor closed graph classes. The theory has ...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh
NIPS
2004
13 years 8 months ago
Support Vector Classification with Input Data Uncertainty
This paper investigates a new learning model in which the input data is corrupted with noise. We present a general statistical framework to tackle this problem. Based on the stati...
Jinbo Bi, Tong Zhang
ISSAC
2007
Springer
146views Mathematics» more  ISSAC 2007»
14 years 1 months ago
Fast and exact geometric analysis of real algebraic plane curves
An algorithm is presented for the geometric analysis of an algebraic curve f(x, y) = 0 in the real affine plane. It computes a cylindrical algebraic decomposition (CAD) of the pla...
Arno Eigenwillig, Michael Kerber, Nicola Wolpert