3 papers
math.CO2025
The connectivity dimension of a graph
Kurt Klement Gottwald, Tobias Hofmann
This article investigates the connectivity dimension of a graph. We introduce this concept in analogy to the metric dimension of a graph, providing a graph parameter that measures…
math.CO2025
Posets for Specht ideals of essential real reflection groups
Sebastian Debus, Kurt Klement Gottwald
Specht ideals are symmetric ideals in the polynomial ring generated by Specht polynomials associated with group representations. These ideals were previously studied for reflection…
math.MG2025
Minkowski chirality: a measure of reflectional asymmetry of convex bodies
Andrei Caragea, Katherina von Dichter, Kurt Klement Gottwald +3
Using an optimal containment approach, we quantify the asymmetry of convex bodies in with respect to reflections across affine subspaces of a given dimension. We pro…