Some Cayley graphs with propagation time 1

Document Type : Research Article

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Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University

Abstract

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 $\Omega$.‎

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References

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Journal of the Iranian Mathematical Society
Volume 2, Issue 2
December 2021
Pages 111-122

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