22 citations · 55 across the 7 of their papers we have counts for
8 papers
Existence of quantum symmetries for graphs on up to seven vertices: a computer based approach
Christian Eder, Viktor Levandovskyy, Julien Schanz +3
The symmetries of a finite graph are described by its automorphism group; in the setting of Woronowicz's quantum groups, a notion of a quantum automorphism group has been defined b…
On the Primary Decomposition of Some Determinantal Hyperedge Ideal
Gerhard Pfister, Andreas Steenpass
In this paper we describe the method which we applied to successfully compute the primary decomposition of a certain ideal coming from applications in combinatorial algebra and alg…
The Classification of Real Singularities Using Singular. Part III: Unimodal Singularities of Corank 2
Janko Boehm, Magdaleen S. Marais, Andreas Steenpass
We present a classification algorithm for isolated hypersurface singularities of corank 2 and modality 1 over the real numbers. For a singularity given by a polynomial over the rat…
Gröbner Bases over Algebraic Number Fields
Dereje Kifle Boku, Claus Fieker, Wolfram Decker +1
Although Buchberger's algorithm, in theory, allows us to compute Gröbner bases over any field, in practice, however, the computational efficiency depends on the arithmetic of the g…
Refined Algorithms to Compute Syzygies
Burcin Erocal, Oleksandr Motsak, Frank-Olaf Schreyer +1
Based on Schreyer's algorithm (Schreyer, 1980, 1991; Berkesch and Schreyer, 2014), we present two refined algorithms for the computation of syzygies. The two main ideas of the firs…
The Classification of Real Singularities Using SINGULAR. Part II: The Structure of the Equivalence Classes of the Unimodal Singularities
Magdaleen S. Marais, Andreas Steenpass
In the classification of real singularities by Arnold et al. (1985), normal forms, as representatives of equivalence classes under right equivalence, are not always uniquely determ…