Martin Winter

activity

20182023

most citedGeometry and Topology of Symmetric Point Arrangements

2 citations · 7 across the 13 of their papers we have counts for

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Showing 2020Show all

3 papers · 1 filter

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.MG2020

The Edge-transitive Polytopes that are not Vertex-transitive

Frank Göring, Martin Winter

In 3-dimensional Euclidean space there exist two exceptional polyhedra, the rhombic dodecahedron and the rhombic triacontahedron, the only known polytopes (besides polygons) that a…