Energy of the Zero-Divisor Graph of the Integers Modulo n (ℤn)
Keywords:Adjacency energy, energy of graph, maximum degree energy, ring of integers modulo n, Seidel energy
Adding the moduli (absolute values) of the eigenvalues of a matrix generated from a graph gives the energy of the graph. Three different types of energies are computed in this paper; the adjacency energy, Seidel energy and the maximum degree energy. The graph under consideration is the zero-divisor graph of the integers modulo n (ℤn), where we considered seven rings of integers modulo n, namely, ℤ6,ℤ8,ℤ9,ℤ10,ℤ12,ℤ 14 and ℤ15. The matrices of the graphs are first generated after which the energies are then computed using the eigenvalues of the respective matrices.
How to Cite
This work is licensed under a Creative Commons Attribution 4.0 International License.
This is an open-access journal which means that all content is freely available without charge to the user or his/her institution. Users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles, or use them for any other lawful purpose, without asking prior permission from the publisher or the author.
The Authors own the copyright of the articles.