Iranian Mathematical SocietyJournal of the Iranian Mathematical Society2717-16122220211201Some Cayley graphs with propagation time 111112214844910.30504/jims.2022.319293.1049ENZ.RamehDepartment of
Pure Mathematics, Faculty of Science, Imam Khomeini International UniversityE.VatandoostDepartment of
Pure Mathematics, Faculty of Science, Imam Khomeini International UniversityJournal Article20211211In 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 $\Omega$.https://jims.ims.ir/article_148449_87528e4f55ec1f900582e73234ca32bd.pdf