Some new results on the prime order Cayley graph of given groups
und | 15. Nov. 2023
Über diesen Artikel
Online veröffentlicht: 15. Nov. 2023
Seitenbereich: 35 - 53
Eingereicht: 30. Juni 2022
DOI: https://doi.org/10.2478/ausm-2023-0003
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© 2023 A. Asrari et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
In this paper, we study the prime order Cayley graph assigned to the group ℤn for different values of n. We specify some of the graph theoretical properties such as chromatic and perfect matching numbers. Furthermore, we determine the adjacency matrices and eigenvalues of the prime order Cayley graph associated with groups ℤn and 𝒟2n.