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» On the Complexity of the Interlace Polynomial
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DM
2006
78views more  DM 2006»
14 years 11 months ago
On polynomial digraphs
Let (x, y) be a bivariate polynomial with complex coefficients. The zeroes of (x, y) are given a combinatorial structure by considering them as arcs of a directed graph G(). This p...
Josep M. Brunat, Antonio Montes
ISSAC
2011
Springer
243views Mathematics» more  ISSAC 2011»
14 years 2 months ago
Practical polynomial factoring in polynomial time
There are several algorithms for factoring in Z[x] which have a proven polynomial complexity bound such as Sch¨onhage of 1984, Belabas/Kl¨uners/van Hoeij/Steel of 2004, and vanH...
William Hart, Mark van Hoeij, Andrew Novocin
CORR
2010
Springer
162views Education» more  CORR 2010»
14 years 8 months ago
Cross-Composition: A New Technique for Kernelization Lower Bounds
We introduce a new technique for proving kernelization lower bounds, called cross-composition. A classical problem L cross-composes into a parameterized problem Q if an instance o...
Hans L. Bodlaender, Bart M. P. Jansen, Stefan Krat...
TWC
2010
14 years 6 months ago
Maximum-likelihood noncoherent OSTBC detection with polynomial complexity
Abstract--We prove that maximum-likelihood (ML) noncoherent sequence detection of orthogonal space-time block coded signals can always be performed in polynomial time with respect ...
Dimitris S. Papailiopoulos, George N. Karystinos
ISSAC
2004
Springer
159views Mathematics» more  ISSAC 2004»
15 years 5 months ago
Complexity issues in bivariate polynomial factorization
Many polynomial factorization algorithms rely on Hensel lifting and factor recombination. For bivariate polynomials we show that lifting the factors up to a precision linear in th...
Alin Bostan, Grégoire Lecerf, Bruno Salvy, ...