Algebra Seminar talk

Bernhard Garn
Algebraic Modelling of Covering Arrays

In this talk, we are concerned with analyzing properties of certain discrete structures appearing in combinatorial design theory from an algebraic viewpoint. We present algebraic modellings, characterizations and construction approaches for covering arrays, based on a tuple-level modelling and using methods arising from linear algebra, commutative algebra and symbolic computation. Concrete instances of covering arrays for given parameters will arise as points in a generated variety of a system of multivariate polynomial equations with Gröbner Bases playing an important role. Finally, we will showcase real-world applications of these structures in combinatorial testing, a branch of software testing.