@article{, AUTHOR = {Asir, T. and Chelvam, T.Tamizh}, TITLE = {Intersection graph of gamma sets in the total graph}, JOURNAL = {Discuss. Math. Graph Theory}, FJOURNAL = {Discussiones Mathematicae Graph Theory}, VOLUME = {32}, YEAR = {2012}, NUMBER = {2}, PAGES = {341356}, ISSN = {12343099}, ABSTRACT = {In this paper, we consider the intersection graph $I_\Gamma(\mathbb{Z}_n)$ of gamma sets in the total graph on $\mathbb{Z}_n$. We characterize the values of $n$ for which $I_\Gamma(\mathbb{Z}_n)$ is complete, bipartite, cycle, chordal and planar. Further, we prove that $I_\Gamma(\mathbb{Z}_n)$ is an Eulerian, Hamiltonian and as well as a pancyclic graph. Also we obtain the value of the independent number, the clique number, the chromatic number, the connectivity and some domination parameters of $I_\Gamma(\mathbb{Z}_n)$.}, }
