S. Schmidt

12 citations · 20 across the 4 of their papers we have counts for

collaborators

4 papers

math.GR2024

Characterizing finite groups whose enhanced power graphs have universal vertices

David G. Costanzo, Mark L. Lewis, Stefano Schmidt +2

Let $G$ be a finite group and construct a graph $Δ (G)$ by taking $G ∖ {1}$ as the vertex set of $Δ (G)$ and by drawing an edge between two vertices $x$ and $y$ if $\langle x…

math.DS2020

New Estimates on the bounds of Brunel's operator

I. Assani, R. S. Hallyburton, S. McMahon +2

We study the coefficients of the Taylor series expansion of powers of the function $ψ (x) = \frac{1 - 1 - x}{x}$ , where the Brunel operator $A \equiv A (T)$ is defined as $ψ (T)$ for…

math.GR2020★ 12 cited

The Cyclic Graph of a Z-group

David G. Costanzo, Mark L. Lewis, Stefano Schmidt +2

For a group $G$ , we define a graph $Δ (G)$ by letting $G^{#} = G ∖ {1}$ be the set of vertices and by drawing an edge between distinct elements $x, y \in G^{#}$ if and o…

math.GR2020★ 8 cited

The cyclic graph (deleted enhanced power graph) of a direct product

David G. Costanzo, Mark L. Lewis, Stefano Schmidt +2

Let $G$ be a finite group. Define a graph on the set $G^{#} = G ∖ {1}$ by declaring distinct elements $x, y \in G^{#}$ to be adjacent if and only if $\langle x,y\rangle…