Iranian Mathematical Society Journal of the Iranian Mathematical Society 2717-1612 2 2 2021 12 01 Some Cayley graphs with propagation time 1 111 122 148449 10.30504/jims.2022.319293.1049 EN Z. Rameh Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University E. Vatandoost Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University Journal Article 2021 12 11 In this paper we study the zero forcing number as well as the propagation time of Cayley graph $Cay(G,\Omega),$ where $G$ is a finite group and $\Omega \subset G \setminus \lbrace 1 \rbrace$ is an inverse closed generator set of $G$. It is proved that the propagation time of $Cay(G,\Omega)$ is 1 for some Cayley graphs on dihedral groups and finite cyclic groups with special generator set $\Omega$.‎ Cayley graph Zero forcing number Propagation time https://jims.ims.ir/article_148449_8b449b1ef5d43ec788887adf1f0e5d1b.pdf