Kurt Klement Gottwald

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math.CO2026

Soltés problem for the Kirchhoff index of a graph

Kurt Klement Gottwald, Tomislav Došlić, Snježana Majstorović Ergotić

We say that $v \in V (G)$ is a \textit{good vertex} if the Kirchhoff index remains unchanged when $v$ is removed, i.e. $K f (G) = K f (G - v)$ . In 1991, Šoltés studied the Wiener index of a…

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…