David G. Costanzo

activity

20202026

most citedThe Cyclic Graph of a Z-group

12 citations · 20 across the 6 of their papers we have counts for

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Showing 2020Show all

2 papers · 1 filter

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…