CORR
2010
Springer
13 years 1 months ago
2010
Springer
We show that unless P=NP, there exists no polynomial time (or even pseudo-polynomial time) algorithm that can decide whether a multivariate polynomial of degree four (or higher ev...
CORR
2010
Springer
13 years 1 months ago
2010
Springer
We introduce a new technique for proving kernelization lower bounds, called cross-composition. A classical problem L cross-composes into a parameterized problem Q if an instance o...
FOCM
2010
13 years 1 months ago
2010
In [BP08], the average complexity of linear homotopy methods to solve polynomial equations with random initial input (in a sense to be described below) was proven to be finite, an...
CORR
2010
Springer
13 years 1 months ago
2010
Springer
In this paper we derive aggregate separation bounds, named after Davenport-MahlerMignotte (DMM), on the isolated roots of polynomial systems, specifically on the minimum distance ...
ICIP
2009
IEEE
13 years 2 months ago
2009
IEEE
By using Semi-Definite Programming (SDP) as a tool, a new deign for Two-Dimensional (2-D) Diamond-Shaped (DS) filters is developed. Surprisingly, the diamond shape of the filter is...
DLT
2009
13 years 2 months ago
2009
Blanchet-Sadri et al. have shown that Avoidability, or the problem of deciding the avoidability of a finite set of partial words over an alphabet of size k 2, is NP-hard [Theoret...
TCS
1998
13 years 4 months ago
1998
The complexity of the reachability problem for live and safe free-choice Petri nets has been open for several years. Several partial results seemed to indicate that the problem is...
MOC
1998
13 years 4 months ago
1998
Consider the Vandermonde-like matrix P := (Pk(cos jπ N ))N j,k=0, where the polynomials Pk satisfy a three-term recurrence relation. If Pk are the Chebyshev polynomials Tk, then P...
MOC
2002
13 years 4 months ago
2002
We answer a question left open in an article of Coppersmith and Davenport which proved the existence of polynomials whose powers are sparse, and in particular polynomials whose squ...
JCT
2002
13 years 4 months ago
2002
This paper presents a systematic approach to the discovery, interpretation and veri cation of various extensions of Hurwitz's multinomial identities, involving polynomials de...