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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.CO2022
Properties of uniformly -connected graphs
Frank Göring, Tobias Hofmann
A graph on at least vertices is uniformly -connected if each pair of its vertices is connected by and not more than independent paths. We reinvestigate a recent…