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» The Accelerated Euclidean Algorithm
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STOC
2001
ACM
119views Algorithms» more  STOC 2001»
16 years 3 months ago
Complex tilings
Two infinite families of self-similar tilings are described which have apparently not been reported before. Each tiling is based on a single prototile that is a segment of a regul...
Bruno Durand, Leonid A. Levin, Alexander Shen
ISSAC
1998
Springer
111views Mathematics» more  ISSAC 1998»
15 years 7 months ago
A Subresultant Theory for Ore Polynomials with Applications
The subresultant theory for univariate commutative polynomials is generalized to Ore polynomials. The generalization includes: the subresultant theorem, gap structure, and subresu...
Ziming Li
DGCI
2006
Springer
15 years 6 months ago
Recognition of Blurred Pieces of Discrete Planes
We introduce a new discrete primitive, the blurred piece of a discrete plane, which relies on the arithmetic definition of discrete planes. It generalizes such planes, admitting th...
Laurent Provot, Lilian Buzer, Isabelle Debled-Renn...
SODA
2003
ACM
103views Algorithms» more  SODA 2003»
15 years 4 months ago
On the rectilinear crossing number of complete graphs
We prove a lower bound of 0.3288   n 4¡ for the rectilinear crossing number cr(Kn) of a complete graph on n vertices, or in other words, for the minimum number of convex quadril...
Uli Wagner
AAECC
2007
Springer
127views Algorithms» more  AAECC 2007»
15 years 3 months ago
Skew-cyclic codes
We generalize the notion of cyclic codes by using generator polynomials in (non commutative) skew polynomial rings. Since skew polynomial rings are left and right euclidean, the o...
Delphine Boucher, Willi Geiselmann, Felix Ulmer