ArticleOriginal scientific text
Title
Intersection graph of gamma sets in the total graph
Authors 1, 2
Affiliations
- Department of Mathematics, Manonmaniam Sundaranar University, Tirunelveli- 627 012, Tamil Nadu, India
- Department of Mathematics Manonmaniam Sundaranar University, Tirunelveli- 627 012, Tamil Nadu, India
Abstract
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 .
Keywords
total graph, gamma sets, intersection graph, Hamiltonian, coloring, connectivity, domination number
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