Eigenvalues of Antiadjacency Matrix of Cayley Graph of Z_n

Juan Daniel, Kiki Ariyanti Sugeng, Nora Hariadi


In this paper, we give a relation between the eigenvalues of the antiadjacency matrix of Cay(Z_n, S) and the eigenvalues of the antiadjacency matrix of Cay(Z_n, (Z_n−{0})−S), as well as the eigenvalues of the adjacency matrix of Cay(Z_n, S). Then, we give the characterization of connection set S where the eigenvalues of the antiadjacency matrix of Cay(Z_n, S) are all integers.


Antiadjacency matrix, Cayley graph, group Z_n, eigenvalues, adjacency matrix, circulant matrix

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DOI: http://dx.doi.org/10.19184/ijc.2022.6.1.5


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