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» The Complexity of the Annihilating Polynomial
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AAAI
2010
15 years 7 months ago
Bypassing Combinatorial Protections: Polynomial-Time Algorithms for Single-Peaked Electorates
For many election systems, bribery (and related) attacks have been shown NP-hard using constructions on combinatorially rich structures such as partitions and covers. It is import...
Felix Brandt, Markus Brill, Edith Hemaspaandra, La...
STACS
2007
Springer
16 years 8 days ago
The Polynomially Bounded Perfect Matching Problem Is in NC 2
Abstract. The perfect matching problem is known to be in ¶, in randomized NC, and it is hard for NL. Whether the perfect matching problem is in NC is one of the most prominent ope...
Manindra Agrawal, Thanh Minh Hoang, Thomas Thierau...
ICPPW
2005
IEEE
15 years 11 months ago
Factoring Solution Sets of Polynomial Systems in Parallel
We report on a £rst parallel implementation of a recent algorithm to factor positive dimensional solution sets of polynomial systems. As the algorithm uses homotopy continuation,...
Anton Leykin, Jan Verschelde
ISSAC
2005
Springer
105views Mathematics» more  ISSAC 2005»
15 years 11 months ago
Computing the rank and a small nullspace basis of a polynomial matrix
We reduce the problem of computing the rank and a nullspace basis of a univariate polynomial matrix to polynomial matrix multiplication. For an input n×n matrix of degree d over ...
Arne Storjohann, Gilles Villard
ISSAC
2001
Springer
123views Mathematics» more  ISSAC 2001»
15 years 10 months ago
A probabilistic algorithm to test local algebraic observability in polynomial time
The following questions are often encountered in system and control theory. Given an algebraic model of a physical process, which variables can be, in theory, deduced from the inp...
Alexandre Sedoglavic