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math.GR2024★ 1 cited
On the Nilpotent Graph of a finite Group
Jaime Torres, Ismael Gutierrez, E. J. Garcia-Claro
If G is a non-nilpotent group and nil(G) = {g \in G : <g, h> is nilpotent for all h\in G}, the nilpotent graph of G is the graph with set of vertices G-nil(G) in which two distinct…
math.GR2022
The t-Graphs Over Finitely-Generated Groups and the Minkowski Metric
G. Diaz-Porto, I. S. Gutierrez, A. Torres-Grandisson
In this paper, we introduce the t-graphs defined on finitely-generate groups. We study some general aspects of the t-graphs on 2-generator groups, emphasising establishing necessar…