A recent algorithmic procedure for computing the absolute factorization of a polynomial P(X, Y ), after a linear change of coordinates, is via a factorization modulo X3 . This was...
We say that a polynomial f(x1, . . . , xn) is indecomposable if it cannot be written as a product of two polynomials that are defined over disjoint sets of variables. The polynom...
We consider an optimization problem of finding the best possible offspring as a result of a recombination operator in an evolutionary algorithm, given two parent solutions. The op...
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 ...
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsig...
Recently, considerable focus has been given to the problem of determining the boundary between tractable and intractable planning problems. To this end, we present complexity resu...