3 papers
math.CO2020
Hyperplane arrangements in polymake
Lars Kastner, Marta Panizzut
Hyperplane arrangements form the latest addition to the zoo of combinatorial objects dealt with by polymake. We report on their implementation and on a algorithm to compute the ass…
math.CO2019
The Newton polytope of the discriminant of a quaternary cubic form
Lars Kastner, Robert Loewe
We determine the extremal monomials of the discriminant of a quaternary cubic form. These are in bijection with -equivalence classes of regular triangulations of the…
math.CO2019
Random growth on a Ramanujan graph
Janko Boehm, Michael Joswig, Lars Kastner +1
The behavior of a certain random growth process is analyzed on arbitrary regular and non-regular graphs. Our argument is based on the Expander Mixing Lemma, which entails that the…