Anti-adjacency and Laplacian spectra of inverse graph of group of integers modulo n

Murni, Murni and Hadi, Agung Efriyo and Febry, Ifkra and Abdussakir, Abdussakir (2020) Anti-adjacency and Laplacian spectra of inverse graph of group of integers modulo n. Presented at International Conference on Engineering Science and Technology, 29-30 August 2019, Lampung, Indonesia.

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Full text available at: https://iopscience.iop.org/article/10.1088/1757-89...

Abstract

Research on the spectra of a graph still attracts the attention of many researchers over the last decades. In addition, research related to graphs obtained from an algebraic structure such as groups and rings is also growing. This paper determines the spectrum of the anti-adjacency and Laplacian matrices of inverse graph of a finite commutative group, namely the addition group of integers modulo n. It can be concluded that all eigenvalues of anti-adjacency and Laplacian matrices of the inverse graph of addition group of integers modulo n are integer

Item Type: Conference (Paper)
Keywords: anti-adjacency matrix, Laplacian matrix, spectrum, inverse graph, group of integer modulo
Subjects: 01 MATHEMATICAL SCIENCES > 0101 Pure Mathematics > 010104 Combinatorics and Discrete Mathematics (excl. Physical Combinatorics)
01 MATHEMATICAL SCIENCES > 0101 Pure Mathematics > 010105 Group Theory and Generalisations
Divisions: Faculty of Mathematics and Sciences > Department of Mathematics
Depositing User: Abdussakir Abdussakir
Date Deposited: 20 May 2020 02:01

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