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 $\mathcal{S}(G)$.
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
