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Some Properties of the Line Graphs Associated to the Total Graph of a Commutative Ring
Pure and Applied Mathematics Journal
Volume 2, Issue 2, April 2013, Pages: 51-55
Received: Mar. 2, 2013; Published: Apr. 2, 2013
Authors
Aleksandra Lj. Erić, Faculty of Civil Engineering, University of Belgrade, Serbia
Zoran S. Pucanović, Faculty of Civil Engineering, University of Belgrade, Serbia
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Abstract
Let be a commutative ring with identity and its total graph. The subject of this article is the investigation of the properties of the corresponding line graph In particular, we determine the girth and clique number of In addition to that, we find the condition for to be Eulerian.
Keywords
Total Graph; Line Graph; Commutative Ring
Aleksandra Lj. Erić, Zoran S. Pucanović, Some Properties of the Line Graphs Associated to the Total Graph of a Commutative Ring, Pure and Applied Mathematics Journal. Vol. 2, No. 2, 2013, pp. 51-55. doi: 10.11648/j.pamj.20130202.11
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