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EJC
2010
13 years 9 months ago
A linear equation for Minkowski sums of polytopes relatively in general position
The objective of this paper is to study a special family of Minkowski sums, that is of polytopes relatively in general position. We show that the maximum number of faces in the su...
Komei Fukuda, Christophe Weibel
FOCM
2008
76views more  FOCM 2008»
13 years 9 months ago
On Smale's 17th Problem: A Probabilistic Positive Solution
Smale's 17th Problem asks "Can a zero of n complex polynomial equations in n unknowns be found approximately, on the average [for a suitable probability measure on the s...
Carlos Beltrán, Luis Miguel Pardo
BMCBI
2006
78views more  BMCBI 2006»
13 years 9 months ago
Subfamily logos: visualization of sequence deviations at alignment positions with high information content
Background: Recognition of relevant sequence deviations can be valuable for elucidating functional differences between protein subfamilies. Interesting residues at highly conserve...
Eric Beitz
BMCBI
2006
103views more  BMCBI 2006»
13 years 9 months ago
Cis-motifs upstream of the transcription and translation initiation sites are effectively revealed by their positional disequili
Background: The discovery of cis-regulatory motifs still remains a challenging task even though the number of sequenced genomes is constantly growing. Computational analyses using...
Kenneth W. Berendzen, Kurt Stüber, Klaus Hart...
IPL
2008
135views more  IPL 2008»
13 years 9 months ago
On the Positive-Negative Partial Set Cover problem
The Positive-Negative Partial Set Cover problem is introduced and its complexity, especially the hardness-of-approximation, is studied. The problem generalizes the Set Cover probl...
Pauli Miettinen