66 citations · 95 across the 14 of their papers we have counts for
18 papers
Une généralisation du critère de Boulier -- Buchberger pour le calcul des ensembles caractéristiques d'idéaux différentiels
Amir Hashemi, François Ollivier
We generalize the analog of Buchberger's first criterion, stated by Boulier et al., for detecting useless S-polynomials reductions in the computation of characteristic sets of diff…
Compact packings of the plane with three sizes of discs
Thomas Fernique, Amir Hashemi, Olga Sizova
A compact packing is a set of non-overlapping discs where all the holes between discs are curvilinear triangles. There is only one compact packing by discs of size . There are e…
Computation of Pommaret Bases Using Syzygies
Bentolhoda Binaei, Amir Hashemi, Werner M. Seiler
We investigate the application of syzygies for efficiently computing (finite) Pommaret bases. For this purpose, we first describe a non-trivial variant of Gerdt's algorithm to cons…
A Pommaret Bases Approach to the Degree of a Polynomial Ideal
Bentolhoda Binaei, Amir Hashemi, Werner M. Seiler
In this paper, we study first the relationship between Pommaret bases and Hilbert series. Given a finite Pommaret basis, we derive new explicit formulas for the Hilbert series and…
Computing all border bases for ideals of points
Amir Hashemi, Martin Kreuzer, Samira Pourkhajouei
In this paper we consider the problem of computing all possible order ideals and also sets connected to 1, and the corresponding border bases, for the vanishing ideal of a given fi…
Improved Computation of Involutive Bases
Bentolhoda Binaei, Amir Hashemi, Werner M. Seiler
In this paper, we describe improved algorithms to compute Janet and Pommaret bases. To this end, based on the method proposed by Moller et al., we present a more efficient variant…