Some aspects of zero-divisor graphs for the ring of Gaussian integers modulo \(2^n\)

DOI10.1007/s12190-021-01518-9zbMath1487.05125OpenAlexW3133625262MaRDI QIDQ2143788

Deepa Sinha, Bableen Kaur

Publication date: 31 May 2022

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-021-01518-9

zbMATH Keywords

zero-divisor graphring of Gaussian integers

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structural characterization of families of graphs (05C75) Graph algorithms (graph-theoretic aspects) (05C85) General commutative ring theory (13A99)

Cites Work

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• On zero divisor graphs of the rings \(Z_n\)
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Beck's coloring of a commutative ring
• Laplacian eigenvalues of the zero divisor graph of the ring \(\mathbb{Z}_n\)
• Graceful labeling of some zero divisor graphs
• On co-maximal meet signed graphs of commutative rings
• The Complement Graph for Gaussian Integers Modulon
• SOME PROPERTIES OF THE ZERO-DIVISOR GRAPH FOR THE RING OF GAUSSIAN INTEGERS MODULO n
• A Zero Divisor Graph Determined by Equivalence Classes of Zero Divisors
• Zero Divisor Graph for the Ring of Gaussian Integers Modulon
• On planarity of compressed zero-divisor graphs associated to commutative rings
• Upper dimension and bases of zero-divisor graphs of commutative rings
• On strong metric dimension of zero-divisor graphs of rings

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