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ANTS
2006
Springer
94views Algorithms» more  ANTS 2006»
13 years 11 months ago
Fast Bounds on the Distribution of Smooth Numbers
Let P(n) denote the largest prime divisor of n, and let (x, y) be the number of integers n x with P(n) y. In this paper we present improvements to Bernstein's algorithm, whi...
Scott T. Parsell, Jonathan Sorenson
IWPEC
2010
Springer
13 years 5 months ago
Inclusion/Exclusion Branching for Partial Dominating Set and Set Splitting
Abstract. Inclusion/exclusion branching is a way to branch on requirements imposed on problems, in contrast to the classical branching on parts of the solution. The technique turne...
Jesper Nederlof, Johan M. M. van Rooij
TCS
2008
13 years 7 months ago
On the complexity of real root isolation using continued fractions
We present algorithmic, complexity and implementation results concerning real root isolation of integer univariate polynomials using the continued fraction expansion of real algeb...
Elias P. Tsigaridas, Ioannis Z. Emiris
BMCBI
2007
109views more  BMCBI 2007»
13 years 7 months ago
Computational RNA secondary structure design: empirical complexity and improved methods
Background: We investigate the empirical complexity of the RNA secondary structure design problem, that is, the scaling of the typical difficulty of the design task for various cl...
Rosalía Aguirre-Hernández, Holger H....
APPROX
2009
Springer
126views Algorithms» more  APPROX 2009»
14 years 2 months ago
Improved Inapproximability Results for Maximum k-Colorable Subgraph
We study the maximization version of the fundamental graph coloring problem. Here the goal is to color the vertices of a k-colorable graph with k colors so that a maximum fraction ...
Venkatesan Guruswami, Ali Kemal Sinop