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» Computing Tutte Polynomials
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JSC
2006
132views more  JSC 2006»
13 years 10 months ago
From an approximate to an exact absolute polynomial factorization
We propose an algorithm for computing an exact absolute factorization of a bivariate polynomial from an approximate one. This algorithm is based on some properties of the algebrai...
Guillaume Chèze, André Galligo
PKC
2007
Springer
165views Cryptology» more  PKC 2007»
14 years 4 months ago
Deterministic Polynomial Time Equivalence Between Factoring and Key-Recovery Attack on Takagi's RSA
Abstract. For RSA, May showed a deterministic polynomial time equivalence of computing d to factoring N(= pq). On the other hand, Takagi showed a variant of RSA such that the decry...
Noboru Kunihiro, Kaoru Kurosawa
ISSAC
1997
Springer
138views Mathematics» more  ISSAC 1997»
14 years 2 months ago
Fast Polynomial Factorization Over High Algebraic Extensions of Finite Fields
New algorithms are presented for factoring polynomials of degree n over the finite field of q elements, where q is a power of a fixed prime number. When log q = n1+a , where a ...
Erich Kaltofen, Victor Shoup
ISSAC
2007
Springer
163views Mathematics» more  ISSAC 2007»
14 years 4 months ago
POSIX threads polynomials(PTPol): a scalable implementation of univariate arithmetic operations
In this paper, we describe the design of a C library named PTPol implementing arithmetic operations for univariate polynomials and report on practical experiments showing the rele...
Mohab Safey El Din, Philippe Trebuchet
DAM
2008
108views more  DAM 2008»
13 years 10 months ago
Feedback vertex set on AT-free graphs
We present a polynomial time algorithm to compute a minimum (weight) feedback vertex set for AT-free graphs, and extending this approach we obtain a polynomial time algorithm for ...
Dieter Kratsch, Haiko Müller, Ioan Todinca