4 citations · 7 across the 5 of their papers we have counts for
8 papers
Perfectly Matchable Set Polynomials and -polynomials for Stable Set Polytopes of Complements of Graphs
Robert Davis, Florian Kohl
A subset of vertices of a graph is called a perfectly matchable set of if the subgraph induced by contains a perfect matching. The perfectly matchable set polynomia…
Unconditional reflexive polytopes
Florian Kohl, McCabe Olsen, Raman Sanyal
A convex body is unconditional if it is symmetric with respect to reflections in all coordinate hyperplanes. In this paper, we investigate unconditional lattice polytopes with resp…
Birkhoff polytopes of different type and the orthant-lattice property
Florian Kohl, McCabe Olsen
The Birkhoff polytope, defined to be the convex hull of permutation matrices, is a well studied polytope in the context of the Ehrhart theory. This polytope is known to…
Levelness of Order Polytopes
Christian Haase, Florian Kohl, Akiyoshi Tsuchiya
Since their introduction by Stanley~\cite{StanleyOrderPoly} order polytopes have been intriguing mathematicians as their geometry can be used to examine (algebraic) properties of f…
Level algebras and -lecture hall polytopes
Florian Kohl, McCabe Olsen
Given a family of lattice polytopes, a common endeavor in Ehrhart theory is the classification of those polytopes in the family that are Gorenstein, or more generally level. In thi…
Transfer-Matrix Methods meet Ehrhart Theory
Alexander Engström, Florian Kohl
Transfer-Matrix Methods originated in physics where they were used to count the number of allowed particle states on a structure whose width is a parameter. Typically, the numb…
Semigroups --- A Computational Approach
Florian Kohl, Yanxi Li, Johannes Rauh +1
The question whether there exists an integral solution to the system of linear equations with non-negative constraints, $A\x = \b, \, \x \ge 0$, where and ${…
Rademacher-Carlitz Polynomials
Matthias Beck, Florian Kohl
We introduce and study the \emph{Rademacher-Carlitz polynomial} \[ \RC(u, v, s, t, a, b) := \sum_{k = \lceil s \rceil}^{\lceil s \rceil + b - 1} u^{\fl{\frac{ka + t}{b}}} v^k \] wh…