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The clean graph of a commutative ring
(Charles Babbage Research Centre, 2017)
To gain a better understanding of clean rings and their relatives, the clean graph of a commutative ring with identity is introduced and its various properties established. Further investigation of clean graphs leads to ...
The line graph associated to the total graph of a commutative ring
(Ars Combinatoria, 2016)
Let R be a commutative ring with identity and T(Gamma(R)) its total graph. The subject of this article is the investigation of the properties of the corresponding line graph L(T(Gamma(R))). The classification of all ...