Geodesic
On L-ideal-based L-zero-divisor graphs
Discussiones Mathematicae. General Algebra and Applications, Tome 31 (2011) no. 2, pp. 127-145

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In a manner analogous to a commutative ring, the L-ideal-based L-zero-divisor graph of a commutative ring R can be defined as the undirected graph Γ(μ) for some L-ideal μ of R. The basic properties and possible structures of the graph Γ(μ) are studied.
Keywords: μ-Zero-divisor, L-zero-divisor graph, μ-diameter, μ-girth, μ-nilradical ideal, μ-domainlike ring 
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Atani, S.; Kohan, M. On L-ideal-based L-zero-divisor graphs. Discussiones Mathematicae. General Algebra and Applications, Tome 31 (2011) no. 2, pp. 127-145. http://geodesic.mathdoc.fr/item/DMGAA_2011_31_2_a0/