In this paper, a dihedral-type adjacency sequence is defined by using the adjacency matrix which is obtained via a Cayley graph of the dihedral group. Also, we consider the semi-groups which are produced by the generating matrices and we study their orders. Furthermore, we examine the dihedral-type adjacency sequence in groups. Finally, we obtain its period in the dihedral group D_2n as applications of the results obtained.

adjacency matrix, sequence, group, period.