Eigenvalues of zero-divisor graphs of finite commutative rings

DOI10.1007/s10801-020-00989-6zbMath1478.05091arXiv1910.12567OpenAlexW3105074942MaRDI QIDQ2052827

Katja Mönius

Publication date: 29 November 2021

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.12567

zbMATH Keywords

local ringsgraph productsgraph eigenvalueszero-divisor graphsgraph nullity

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) General commutative ring theory (13A99) Graph operations (line graphs, products, etc.) (05C76)

Related Items (5)

Strong resolving graph of a zero-divisor graph ⋮ Spectrum of Graphs over Rings: A Survey ⋮ Zero-divisor graphs of rings and their Hermitian matrices ⋮ Universal adjacency spectrum of the looped zero divisor graph of \(\mathbb{Z}_n\) ⋮ Eigenvalues of zero divisor graphs of principal ideal rings

Cites Work

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• Adjacency matrices of zero-divisor graphs of integers modulo \(n\)
• Characteristic polynomial of a generalized complete product of matrices
• Spectra of graphs
• Some remarks on the compressed zero-divisor graph
• The zero-divisor graph of a commutative ring
• Computing metric dimension of compressed zero divisor graphs associated to rings
• On the unitary Cayley graph of a finite ring
• A Zero Divisor Graph Determined by Equivalence Classes of Zero Divisors
• CYCLES AND SYMMETRIES OF ZERO-DIVISORS
• Eulerian of the Zero Divisor graph $\Gamma[\mathbb {Z}_n$]

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