Turkish Journal of Mathematics
DOI
10.3906/mat-1711-78
Abstract
The power graph $\mathcal{P}(G)$ is a graph with group elements as a vertex set and two elements are adjacent if one is a power of the other. The order supergraph $\mathcal{S}(G)$ of the power graph $\mathcal{P}(G)$ is a graph with vertex set $G$ in which two elements $x, y \in G$ are joined if $o(x) o(y)$ or $o(y) o(x)$. The purpose of this paper is to study certain properties of this new graph together with the relationship between $\mathcal{P}(G)$ and $\mathcal{S}(G)$.
Keywords
Power graph, order supergraph, proper order supergraph
First Page
1978
Last Page
1989
Recommended Citation
HAMZEH, ASMA and ASHRAFI, ALI REZA
(2018)
"The order supergraph of the power graph of a finite group,"
Turkish Journal of Mathematics: Vol. 42:
No.
4, Article 34.
https://doi.org/10.3906/mat-1711-78
Available at:
https://journals.tubitak.gov.tr/math/vol42/iss4/34
