Geodesic
A note on ideal based zero-divisor graph of a commutative ring
Discussiones Mathematicae. General Algebra and Applications, Tome 37 (2017) no. 2, pp. 177-187

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In this paper, we consider the ideal based zero divisor graph Γ_I(R) of a commutative ring R. We discuss some graph theoretical properties of Γ_I(R) in relation with zero divisor graph. We also relate certain parameters like vertex chromatic number, maximum degree and minimum degree for the graph Γ_I(R) with that of Γ(R/I). Further we determine a necessary and sufficient condition for the graph to be Eulerian and regular.
Keywords: zero-divisor graph, chromatic number, ideal based zero divisor graph, clique number 
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Mallika, A.; Kala, R.; Selvakumar, K. A note on ideal based zero-divisor graph of a commutative ring. Discussiones Mathematicae. General Algebra and Applications, Tome 37 (2017) no. 2, pp. 177-187. http://geodesic.mathdoc.fr/item/DMGAA_2017_37_2_a5/