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» Polynomial Interpretations and the Complexity of Algorithms
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COMGEO
2010
ACM
15 years 6 months ago
An efficient algorithm for the stratification and triangulation of an algebraic surface
: We present a method to compute the exact topology of a real algebraic surface S, implicitly given by a polynomial f Q[x,y,z] of arbitrary total degree N. Additionally, our analy...
Eric Berberich, Michael Kerber, Michael Sagraloff
MP
2007
95views more  MP 2007»
15 years 5 months ago
Smoothed analysis of integer programming
We present a probabilistic analysis of integer linear programs (ILPs). More specifically, we study ILPs in a so-called smoothed analysis in which it is assumed that first an adve...
Heiko Röglin, Berthold Vöcking
STOC
2002
ACM
80views Algorithms» more  STOC 2002»
16 years 6 months ago
Strict polynomial-time in simulation and extraction
The notion of efficient computation is usually identified in cryptography and complexity with (strict) probabilistic polynomial time. However, until recently, in order to obtain c...
Boaz Barak, Yehuda Lindell
ACID
2006
236views Algorithms» more  ACID 2006»
15 years 7 months ago
Kernelization for Convex Recoloring
The Convex Recoloring (CR) problem measures how far a tree of characters differs from exhibiting a so-called "perfect phylogeny". For input consisting of a vertex-colored...
Hans L. Bodlaender, Michael R. Fellows, Michael A....
ISSAC
2007
Springer
131views Mathematics» more  ISSAC 2007»
16 years 5 days ago
Some recent progress in exact linear algebra and related questions
We describe some major recent progress in exact and symbolic linear algebra. These advances concern the improvement of complexity estimates for fundamental problems such as linear...
Gilles Villard