10 citations · 38 across the 23 of their papers we have counts for
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Enhanced power graphs of finite groups with cograph structure
Daniela Bubboloni, Francesco Fumagalli, Cheryl E. Praeger
The enhanced power graph, , of a group has vertex set and two elements are adjacent if they generate a cyclic subgroup. In the case of finite groups, we ide…
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…
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…
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…
Normal -coverings of the finite simple groups and their generalizations
Daniela Bubboloni, Pablo Spiga, Thomas Weigel
Given a finite group , we say that has weak normal covering number if is the smallest integer with admitting proper subgroups s…
Linear bounds for the normal covering number of the symmetric and alternating groups
Daniela Bubboloni, Cheryl E. Praeger, Pablo Spiga
The normal covering number of a finite, non-cyclic group is the minimum number of proper subgroups such that each element of lies in some conjugate of one of these s…