Abstract
In this paper, we consider the intersection graph I (Zn) of gamma sets in the total graph on Zn. We characterize the values of n for which I (Zn) is complete, bipartite, cycle, chordal and planar. Further, we prove that I (Zn) 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 (Zn).
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