Explicit spectra are determined for the A_alpha, adjacency, signless Laplacian, Laplacian, and distance matrices of the zero-divisor graph of Z_p[x]/(x^c), with Laplacian and distance eigenvalues proven to be integers.
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Explicit formulas for Laplacian and distance-Laplacian characteristic polynomials of power graphs of groups of order pqr and of cyclic/dicyclic groups are computed, together with root inequalities.
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Spectral Properties of Zero-Divisor Graphs of Truncated Polynomial Rings
Explicit spectra are determined for the A_alpha, adjacency, signless Laplacian, Laplacian, and distance matrices of the zero-divisor graph of Z_p[x]/(x^c), with Laplacian and distance eigenvalues proven to be integers.
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On (distance) Laplacian characteristic polynomials of power graphs
Explicit formulas for Laplacian and distance-Laplacian characteristic polynomials of power graphs of groups of order pqr and of cyclic/dicyclic groups are computed, together with root inequalities.