Geodesic
On the Radius and the Relation Between the Total Graph of a Commutative Ring and Its Extensions
Publications de l'Institut Mathématique, _N_S_89 (2011) no. 103, p. 1 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We discuss the determination of the radius of the total graph of a commutative ring $R$ in the case when this graph is connected. Typical extensions such as polynomial rings, formal power series, idealization of the $R$-module $M$ and relations between the total graph of the ring $R$ and its extensions are also dealt with.
Classification : 13A99 05C25
Keywords: commutative ring, zero-divisor, total graph 
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Zoran Pucanović; Zoran Petrović. On the Radius and the Relation  Between the Total Graph of a Commutative Ring and Its Extensions. Publications de l'Institut Mathématique, _N_S_89 (2011) no. 103, p. 1 . http://geodesic.mathdoc.fr/item/PIM_2011_N_S_89_103_a0/