In this article we write algorithms and MATLAB programs to find the total energy of Cycle some related graphs. The concept matrix a graph G is introduced by K.Palani&M.Lalithakumari in [9]. Let G=(V, E) be (p, q) simple graph. V (G) = {νi/i 1,2, ... p} E {ei/i q}. T T(G) square order p + q whose (i, j)-entry defined as: