Energy of the Zero-Divisor Graph of the Integers Modulo n (β€π)
Abstract
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 (β€π), where we considered seven rings of integers modulo n, namely, β€6,β€8,β€9,β€10,β€12,β€ 14 πππ β€15. The matrices ofΒ the graphs are first generated after which the energies are then computed using the eigenvalues of the respective matrices.
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