On the Line Graph Associated to the Total Graph of a Module

Authors

  • Jituparna Goswami Gauhati University, Assam, India
  • Helen K. Saikia Department of Mathematics, Gauhati University, Assam, India.

DOI:

https://doi.org/10.11113/matematika.v31.n1.676

Abstract

Let R be a commutative ring with  unity  and  M  be an R-module  with T Γ(M ) be its total  graph.   The  subject  of this  article  is the  investigation of the  properties  of the  corresponding  line graph  L(T Γ(M )).In  particular, we determine  the  girth  and clique number  of L(T Γ(M )).  In addition  to that, we find a condition  for L(T Γ(M )) to be Eulerian.

Author Biography

  • Jituparna Goswami, Gauhati University, Assam, India
    Assistant Professor, Dept. of Applied Sciences, Gauhati University Institute of Science and Technology, Guwahati, Assam, India.  Pin-781014

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Published

28-07-2015

Issue

Volume 31 (June 2015)

Section

Articles

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

On the Line Graph Associated to the Total Graph of a Module. (2015). MATEMATIKA, 31(1), 7-13. https://doi.org/10.11113/matematika.v31.n1.676