JP Journal of Algebra, Number Theory and Applications
Volume 40, Issue 3, Pages 397 - 408
(June 2018) http://dx.doi.org/10.17654/NT040030397 |
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THE DIHEDRAL-TYPE ADJACENCY SEQUENCES
Ömür Deveci, Yeşim Aküzüm and Anthony G. Shannon
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Abstract: 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 D2n as applications of the results obtained. |
Keywords and phrases: adjacency matrix, sequence, group, period. |
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