Title of article :
On the Line Graph Associated to the Total Graph of a Module
Author/Authors :
Goswami, Jituparna Gauhati University - Institute of Science and Technology Guwahati - Department of Applied Sciences, India , Saikia, Helen K. Gauhati University - Department of Mathematics, India
Abstract :
Let R be a commutative ring with unity and M be an R-module with TT(M) be its total graph. The subject of this article is the investigation of the properties of the corresponding line graph L(TT(M)). In particular, we determine the girth and clique number of L(TT(M)). In addition to that we find a condition for L(TT(M)) to be Eulerian.
Keywords :
Total graph , line graph , module
Journal title :
Matematika
Journal title :
Matematika
