<abstract xmlns="http://www.w3.org/1999/xhtml">

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.
</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.

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

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Some new results on the prime order Cayley graph of given groups"}

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...

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

Published Online: Nov 15, 2023

Page range: 35 - 53

Received: Jun 30, 2022

DOI: https://doi.org/10.2478/ausm-2023-0003

Keywords
Cayley graph, adjacency matrix, graph cartesian product

© 2023 A. Asrari et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Published Online: Nov 15, 2023

Page range: 35 - 53

Received: Jun 30, 2022

DOI: https://doi.org/10.2478/ausm-2023-0003

KeywordsCayley graph, adjacency matrix, graph cartesian product

© 2023 A. Asrari et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Cayley graph, adjacency matrix, graph cartesian product