Energy of the Zero-Divisor Graph of the Integers Modulo n (℀𝒏)

  • I.K. Aliyu
  • I.S. Aliyu


Adding the moduli (absolute values) of the eigenvalues of a matrix generated from a graph gives the energy of the graph. Three different types ofΒ  energies are computed in this paper; the adjacency energy, Seidel energy and the maximum degree energy. The graph under consideration is the zero-Β  divisor graph of the integers modulo n (℀𝑛), where we considered seven rings of integers modulo n, namely, β„€6,β„€8,β„€9,β„€10,β„€12,β„€ 14 π‘Žπ‘›π‘‘ β„€15. The matrices ofΒ  the graphs are first generated after which the energies are then computed using the eigenvalues of the respective matrices.


Journal Identifiers

eISSN: 2734-3898
print ISSN: 0795-2384