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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1222,
author = {Khalida Nazzal and Manal Ghanem},
title = {Some properties of the zero divisor graph of a commutative ring},
journal = {Discussiones Mathematicae - General Algebra and Applications},
volume = {34},
year = {2014},
pages = {167-181},
zbl = {1236.05105},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1222}
}
Khalida Nazzal; Manal Ghanem. Some properties of the zero divisor graph of a commutative ring. Discussiones Mathematicae - General Algebra and Applications, Tome 34 (2014) pp. 167-181. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1222/
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