Open AccessAnti-adjacency and Laplacian spectra of inverse graph of group of integers modulo n
Author(s) -
Murni Murni,
Agung Efriyo Hadi,
Ifkra Febry,
Abdussakir
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/807/1/012033
Subject(s) - modulo , adjacency matrix , combinatorics , mathematics , adjacency list , algebraic connectivity , laplacian matrix , primitive root modulo n , discrete mathematics , graph
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