Some properties of the zero divisor graph of a commutative ring
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2014, Vol 34, Issue 2
Abstract
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. 2010 Mathematics Subject Classification: 05C25, 13Axx
Authors and Affiliations
Khalida Nazzal, Manal Ghanem
Keywords
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