Martin Winter

activity

20182020

most citedSymmetric and Spectral Realizations of Highly Symmetric Graphs

2 citations · 3 across the 2 of their papers we have counts for

collaborators

6 papers

math.MG2020★ 1 cited

Eigenpolytopes, Spectral Polytopes and Edge-Transitivity

Martin Winter

Starting from a finite simple graph $G$ , for each eigenvalue $θ$ of its adjacency matrix one can construct a convex polytope $P_{G} (θ)$ , the so called $θ$ -eigenpolytop of $G$ . For so…

math.CO2020★ 2 cited

Symmetric and Spectral Realizations of Highly Symmetric Graphs

Martin Winter

A realization of a graph $G = (V, E)$ is a map $v : V \to R^{d}$ that assigns to each vertex a point in $d$ -dimensional Euclidean space. We study graph realizations from the pers…

math.MG2019

Classification of Vertex-Transitive Zonotopes

Martin Winter

We give a full classification of vertex-transitive zonotopes. We prove that a vertex-transitive zonotope is a $Γ$ -permutahedron for some finite reflection group $Γ\subset\mathrm{O}…

math.MG2019

Geometry and Topology of Symmetric Point Arrangements

Martin Winter

We investigate point arrangements $v_{i} \in R^{d}, i \in {1, ..., n}$ with certain prescribed symmetries. The arrangement space of $v$ is the column span of the matrix in which t…

math.CO2018

Vertex-Facet Assignments For Polytopes

Thomas Jahn, Martin Winter

Motivated by the search for reduced polytopes, we consider the following question: For which polytopes exists a vertex-facet assignment, that is, a matching between vertices and no…

cs.GR2018

AlSub: Fully Parallel and Modular Subdivision

Daniel Mlakar, Martin Winter, Hans-Peter Seidel +2

In recent years, mesh subdivision---the process of forging smooth free-form surfaces from coarse polygonal meshes---has become an indispensable production instrument. Although subd…