David G. Costanzo

collaborators

3 papers

math.GR2021

The Cyclic Graph of a $2$ -Frobenius Group

David G. Costanzo, Mark L. Lewis

The cyclic graph of a group $G$ is the graph whose vertices are the nonidentity elements of $G$ and whose edges connect distinct elements $x$ and $y$ if and only if the subgroup $\…

math.GR2021

Extending Morgan and Parker's results about commuting graphs

Nicolas F. Beike, Rachel Carleton, David G. Costanzo +4

Morgan and Parker have proved that if $G$ is a group satisfying the condition that $Z (G) = 1$ , then the connected components of the commuting graph of $G$ have diameter at most $10…

math.GR2020

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…

The Cyclic Graph of a 2-Frobenius Group

Extending Morgan and Parker's results about commuting graphs

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

The Cyclic Graph of a $2$ -Frobenius Group