2 citations · 3 across the 3 of their papers we have counts for
3 papers
math.GR2024★ 1 cited
Critical groups and partitions of finite groups
Daniela Bubboloni, Nicolas Pinzauti
We define a class of finite groups based on the properties of the closed twins of their power graphs and study the structure of those groups. As a byproduct, we obtain results abou…
math.GR2022
Critical classes of power graphs and reconstruction of directed power graphs
Daniela Bubboloni, Nicolas Pinzauti
In a graph , we consider the common closed neighbourhood of a subset of vertices and use this notion to introduce a Moore closure operator in We also consider the clo…
math.GR2022★ 2 cited
Power Graphs of Finite Groups
Nicolas Pinzauti, Daniela Bubboloni
The power graph of a group is the graph whose vertex set is , having an edge between two distinct vertices if one is the power of the other. The directed po…