Turkish Journal of Mathematics
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 $\mathcal{S}(G)$.
DOI
10.3906/mat-1711-78
Keywords
Power graph, order supergraph, proper order supergraph
First Page
1978
Last Page
1989
Recommended Citation
HAMZEH, A, & ASHRAFI, A. R (2018). The order supergraph of the power graph of a finite group. Turkish Journal of Mathematics 42 (4): 1978-1989. https://doi.org/10.3906/mat-1711-78
