FOCS
2007
IEEE
14 years 7 months ago
2007
IEEE
We study the polynomial reconstruction problem for low-degree multivariate polynomials over finite field F[2]. In this problem, we are given a set of points x ∈ {0, 1}n and ta...
FOCS
2008
IEEE
14 years 7 months ago
2008
IEEE
The deletion–contraction algorithm is perhaps the most popular method for computing a host of fundamental graph invariants such as the chromatic, flow, and reliability polynomi...
CISS
2008
IEEE
14 years 7 months ago
2008
IEEE
—Permutations of order N are generated using polynomials in a Galois field GF(q) where q > N+1, which can be written as a linear transformation on a vector of polynomial coeff...
ISSAC
2009
Springer
14 years 7 months ago
2009
Springer
The computation of triangular decompositions involves two fundamental operations: polynomial GCDs modulo regular chains and regularity test modulo saturated ideals. We propose new...
FSTTCS
2009
Springer
14 years 7 months ago
2009
Springer
Motivated by the Hadamard product of matrices we define the Hadamard product of multivariate polynomials and study its arithmetic circuit and branching program complexity. We also...
FOCS
2009
IEEE
14 years 7 months ago
2009
IEEE
Polynomial time preprocessing to reduce instance size is one of the most commonly deployed heuristics to tackle computationally hard problems. In a parameterized problem, every in...
WEA
2009
Springer
14 years 7 months ago
2009
Springer
We present a cgal-based univariate algebraic kernel, which provides certi ed real-root isolation of univariate polynomials with integer coe cients and standard functionalities such...
STACS
2009
Springer
14 years 7 months ago
2009
Springer
Motivated by the quantum algorithm for testing commutativity of black-box groups (Magniez and Nayak, 2007), we study the following problem: Given a black-box finite ring by an add...
ATS
2009
IEEE
14 years 7 months ago
2009
IEEE
—A method of testing for parametric faults of analog circuits based on a polynomial representation of fault-free function of the circuit is presented. The response of the circuit...
HYBRID
2010
Springer
14 years 7 months ago
2010
Springer
We present computational techniques for automatically generating algebraic (polynomial equality) invariants for algebraic hybrid systems. Such systems involve ordinary differentia...