Eigenvalues of zero divisor graphs of principal ideal rings

DOI10.1080/03081087.2021.1917501zbMath1505.05093OpenAlexW3161449861MaRDI QIDQ5870100

Yotsanan Meemark, Jitsupat Rattanakangwanwong

Publication date: 5 January 2023

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2021.1917501

zbMATH Keywords

group of unitsfinite chain ringzero divisor graphprincipal ideal ring

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Distance in graphs (05C12) Theory of modules and ideals in commutative rings (13C99) General commutative ring theory (13A99) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09)

Cites Work

• Adjacency matrices of zero-divisor graphs of integers modulo \(n\)
• Spectra of graphs
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• On the structure of linear and cyclic codes over a finite chain ring
• Eigenvalues of zero-divisor graphs of finite commutative rings
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