On the line graph of the zero divisor graph for the ring of Gaussian integers modulo \(n\)

DOI10.1155/2012/957284zbMath1236.05105OpenAlexW2035371007WikidataQ58703389 ScholiaQ58703389MaRDI QIDQ666536

Khalida Nazzal, Manal Ghanem

Publication date: 8 March 2012

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

Full work available at URL: https://doi.org/10.1155/2012/957284

zbMATH Keywords

zero divisor graphs of commutative rings

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Coloring of graphs and hypergraphs (05C15) Structure, classification theorems for modules and ideals in commutative rings (13C05) Eulerian and Hamiltonian graphs (05C45)

Related Items

On the zero divisor graphs of the ring of Lipschitz integers modulo \(n\) ⋮ Unnamed Item ⋮ Pancyclic zero divisor graph over the ring ℤn[i] ⋮ Unnamed Item ⋮ Line zero divisor graphs

Uses Software

• Mathematica

Cites Work

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• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Edge domination in graphs
• On the zero-divisor graph of a commutative ring
• SOME PROPERTIES OF THE ZERO-DIVISOR GRAPH FOR THE RING OF GAUSSIAN INTEGERS MODULO n
• On the Zero-Divisor Graph of a Ring
• Zero Divisor Graph for the Ring of Gaussian Integers Modulon
• A result on Hamiltonian line graphs involving restrictions on induced subgraphs
• A note on zero divisor graph over rings
• Central Sets and Radii of the Zero-Divisor Graphs of Commutative Rings

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