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All Journal Indonesian Journal of Combinatorics Jurnal Matematika Integratif
Nora Hariadi
Universitas Indonesia
Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Electrical & Electronics Engineering Engineering Mechanical Engineering Transportation

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Journal : Indonesian Journal of Combinatorics

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Eigenvalues of antiadjacency matrix of Cayley graph of Z_n Juan Daniel; Kiki Ariyanti Sugeng; Nora Hariadi
Indonesian Journal of Combinatorics Vol 6, No 1 (2022)
Publisher : Indonesian Combinatorial Society (InaCombS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/ijc.2022.6.1.5

Abstract

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.
Co-Authors Juan Daniel Kiki Ariyanti Sugeng Rostika Listyaningrum