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 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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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     author = {Zoran Pucanovi\'c and Zoran Petrovi\'c},
     title = {On the {Radius} and the {Relation}  {Between} the {Total} {Graph} of a {Commutative} {Ring} and {Its} {Extensions}},
     journal = {Publications de l'Institut Math\'ematique},
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     year = {2011},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_2011_N_S_89_103_a0/}
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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/