Intersection graph of gamma sets in the total graph
T. Tamizh Chelvam, T. Asir (2012)
Discussiones Mathematicae Graph Theory
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In this paper, we consider the intersection graph of gamma sets in the total graph on ℤₙ. We characterize the values of n for which is complete, bipartite, cycle, chordal and planar. Further, we prove that 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 .