1 citations · 1 across the 3 of their papers we have counts for
4 papers
Chromatic word-quasisymmetric functions of matroids
Raul Penaguiao, Sophie Rehberg
Billera, Jia, and Reiner (2009) introduced the quasisymmetric functions of matroids and showed that this defines a Hopf algebra homomorphism which is a valuative invariant, i.e., i…
Acyclotopes and Tocyclotopes
Eleon Bach, Matthias Beck, Sophie Rehberg
There is a well-established dictionary between zonotopes, hyperplane arrangements, and their (oriented) matroids. Arguably one of the most famous examples is the class of graphical…
Rational Ehrhart Theory
Matthias Beck, Sophia Elia, Sophie Rehberg
The Ehrhart quasipolynomial of a rational polytope encodes fundamental arithmetic data of , namely, the number of integer lattice points in positive integr…
Pruned inside-out polytopes, combinatorial reciprocity theorems and generalized permutahedra
Sophie Rehberg
Generalized permutahedra are a class of polytopes with many interesting combinatorial subclasses. We introduce pruned inside-out polytopes, a generalization of inside-out polytopes…