Abstract: Let be a complete graph with n vertices and T() be the total graph of a complete graph . Through this paper it has been proved that T()  is a strongly regular graph. Also, a general formula has been derived to calculate the four parameter ( of strongly regular graph, T() . Further, eigen values, spectrum and energy of the graph T() has been found.

Keywords: Total Graph, Complete Graph, Regular Graph, Strongly Regular, Spectrum, Energy

| DOI: 10.17148/IARJSET.2019.6313