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CORR
2008
Springer
129views Education» more  CORR 2008»
13 years 7 months ago
Factoring Polynomials over Finite Fields using Balance Test
We study the problem of factoring univariate polynomials over finite fields. Under the assumption of the Extended Riemann Hypothesis (ERH), Gao [Gao01] designed a polynomial time ...
Chandan Saha
JCP
2006
91views more  JCP 2006»
13 years 7 months ago
The Matching Predicate and a Filtering Scheme Based on Matroids
Finding a maximum cardinality matching in a graph is a problem appearing in numerous settings. The problem asks for a set of edges of maximum cardinality, such that no two edges of...
Dimitris Magos, Ioannis Mourtos, Leonidas S. Pitso...
CORR
2010
Springer
163views Education» more  CORR 2010»
13 years 4 months ago
NP-hardness of Deciding Convexity of Quartic Polynomials and Related Problems
We show that unless P=NP, there exists no polynomial time (or even pseudo-polynomial time) algorithm that can decide whether a multivariate polynomial of degree four (or higher ev...
Amir Ali Ahmadi, Alexander Olshevsky, Pablo A. Par...
IWOCA
2010
Springer
223views Algorithms» more  IWOCA 2010»
13 years 2 months ago
Parameterized Algorithms for the Independent Set Problem in Some Hereditary Graph Classes
The maximum independent set problem is NP-complete for graphs in general, but becomes solvable in polynomial time when restricted to graphs in many special classes. The problem is ...
Konrad Dabrowski, Vadim V. Lozin, Haiko Mülle...
ALGORITHMICA
2010
104views more  ALGORITHMICA 2010»
13 years 7 months ago
Fixed-Parameter Approximation: Conceptual Framework and Approximability Results
The notion of fixed-parameter approximation is introduced to investigate the approximability of optimization problems within the framework of fixed-parameter computation. This work...
Liming Cai, Xiuzhen Huang