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DCC
2008
IEEE
14 years 7 months ago
Probabilistic algorithm for finding roots of linearized polynomials
A probabilistic algorithm is presented for finding a basis of the root space of a linearized polynomial L(x) = t i=0 Lixqi over Fqn . The expected time complexity of the presented ...
Vitaly Skachek, Ron M. Roth
BIRTHDAY
2009
Springer
14 years 2 months ago
Polynomial Precise Interval Analysis Revisited
We consider a class of arithmetic equations over the complete lattice of integers (extended with −∞ and ∞) and provide a polynomial time algorithm for computing least solutio...
Thomas Gawlitza, Jérôme Leroux, Jan R...
ICTCS
2001
Springer
13 years 12 months ago
Job Shop Scheduling Problems with Controllable Processing Times
In this paper we study the job shop scheduling problem under the assumption that the jobs have controllable processing times. The fact that the jobs have controllable processing t...
Klaus Jansen, Monaldo Mastrolilli, Roberto Solis-O...
STACS
2010
Springer
14 years 2 months ago
Weakening Assumptions for Deterministic Subexponential Time Non-Singular Matrix Completion
Kabanets and Impagliazzo [KI04] show how to decide the circuit polynomial identity testing problem (CPIT) in deterministic subexponential time, assuming hardness of some explicit ...
Maurice Jansen
SODA
2010
ACM
148views Algorithms» more  SODA 2010»
14 years 4 months ago
Limits on the Social Welfare of Maximal-In-Range Auction Mechanisms
Many commonly-used auction mechanisms are "maximal-in-range". We show that any maximalin-range mechanism for n bidders and m items cannot both approximate the social wel...
Dave Buchfuhrer, Chris Umans