Geodesic
Some properties of the zero divisor graph of a commutative ring
Discussiones Mathematicae. General Algebra and Applications, Tome 34 (2014) no. 2, pp. 167-181.

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Let Γ(R) be the zero divisor graph for a commutative ring with identity. The k-domination number and the 2-packing number of Γ(R), where R is an Artinian ring, are computed. k-dominating sets and 2-packing sets for the zero divisor graph of the ring of Gaussian integers modulo n, Γ(ℤₙ[i]), are constructed. The center, the median, the core, as well as the automorphism group of Γ(ℤₙ[i]) are determined. Perfect zero divisor graphs Γ(R) are investigated.
Keywords: automorphism group of a graph, center of a graph, core of a graph, k-domination number, Gaussian integers modulo n, median of a graph, 2-packing, perfect graph, and zero divisor graph 
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Nazzal, Khalida; Ghanem, Manal. Some properties of the zero divisor graph of a commutative ring. Discussiones Mathematicae. General Algebra and Applications, Tome 34 (2014) no. 2, pp. 167-181. http://geodesic.mathdoc.fr/item/DMGAA_2014_34_2_a2/

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