Some new results on the prime order Cayley graph of given groups

Abstract
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.
DOI: https://doi.org/10.2478/ausm-2023-0003 | Journal eISSN: 2066-7752
Language: English
Page range: 35 - 53
Submitted on: Jun 30, 2022
Published online: Nov 15, 2023
Published in print: Nov 1, 2023
Published by: Sapientia Hungarian University of Transylvania
In partnership with: Paradigm Publishing Services
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© 2023 A. Asrari, B. Tolue, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.