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COCO
2004
Springer
85views Algorithms» more  COCO 2004»
13 years 10 months ago
Polynomials That Sign Represent Parity and Descartes Rule of Signs
Saugata Basu, Nayantara Bhatnagar, Parikshit Gopal...
JUCS
2010
106views more  JUCS 2010»
13 years 3 months ago
A Heuristic Approach to Positive Root Isolation for Multiple Power Sums
: Given a multiple power sum (extending polynomial’s exponents to real numbers), the positive root isolation problem is to find a list of disjoint intervals, satisfying that the...
Ming Xu, Chuandong Mu, Zhenbing Zeng, Zhi-bin Li
MICS
2007
100views more  MICS 2007»
13 years 4 months ago
A New Method for Real Root Isolation of Univariate Polynomials
A new algorithm for real root isolation of univariate polynomials is proposed, which is mainly based on exact interval arithmetic and bisection method. Although exact interval arit...
Ting Zhang, Bican Xia
CORR
2010
Springer
138views Education» more  CORR 2010»
13 years 5 months ago
Shallow Circuits with High-Powered Inputs
A polynomial identity testing algorithm must determine whether an input polynomial (given for instance by an arithmetic circuit) is identically equal to 0. In this paper, we show ...
Pascal Koiran
SODA
2010
ACM
185views Algorithms» more  SODA 2010»
13 years 3 months ago
Solving MAX-r-SAT Above a Tight Lower Bound
We present an exact algorithm that decides, for every fixed r ≥ 2 in time O(m) + 2O(k2 ) whether a given multiset of m clauses of size r admits a truth assignment that satisfi...
Noga Alon, Gregory Gutin, Eun Jung Kim, Stefan Sze...