Let G = (4y2 + 2z)x2 + (10y2 + 6z) be the greatest common divisor (gcd) of two polynomials A, B ∈ [x,y, z]. Because G is not monic in the main variable x, the sparse modular ...
Jennifer de Kleine, Michael B. Monagan, Allan D. W...
We present a first sparse modular algorithm for computing a greatest common divisor of two polynomials f1, f2 ∈ L[x] where L is an algebraic function field in k ≥ 0 paramete...
We study arithmetic operations for triangular families of polynomials, concentrating on multiplication in dimension zero. By a suitable extension of fast univariate Euclidean divi...
Multivariate resultants generalize the Sylvester resultant of two polynomials and characterize the solvability of a polynomial system. They also reduce the computation of all comm...
A spanner of an undirected unweighted graph is a subgraph that approximates the distance metric of the original graph with some specified accuracy. Specifically, we say H ⊆ G i...