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» On the Complexity of the Interlace Polynomial
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ICALP
2001
Springer
15 years 10 months ago
Secure Games with Polynomial Expressions
Abstract. We present the first private information retrieval (PIR) scheme which is both, deterministically correct and has poly-logarithmic communication complexity. Our PIR proto...
Aggelos Kiayias, Moti Yung
EUROCRYPT
2006
Springer
15 years 9 months ago
Polynomial Equivalence Problems: Algorithmic and Theoretical Aspects
The Isomorphism of Polynomials (IP) [28], which is the main concern of this paper, originally corresponds to the problem of recovering the secret key of a C scheme [26]. Besides, t...
Jean-Charles Faugère, Ludovic Perret
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 9 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