2 citations · 3 across the 2 of their papers we have counts for
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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…
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…
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…
New counts for the number of triangulations of cyclic polytopes
Michael Joswig, Lars Kastner
We report on enumerating the triangulations of cyclic polytopes with the new software mptopcom. This is relevant for its connection with higher Stasheff-Tamari orders, which occur…