Martin Winter

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20182022

most citedSymmetric and Spectral Realizations of Highly Symmetric Graphs

2 citations · 5 across the 4 of their papers we have counts for

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math.MG2021★ 2 cited

Capturing Polytopal Symmetries by Coloring the Edge-Graph

Martin Winter

A general (convex) polytope $P \subset R^{d}$ and its edge-graph $G_{P}$ can have very distinct symmetry properties. We construct a coloring (of the vertices and edges) of the ed…

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.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…