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In this article we write algorithms and MATLAB programs to find the total energy of Cycle and some Cycle related graphs. The concept of total matrix and total energy of a graph G is introduced by K.Palani&amp;M.Lalithakumari in [9]. Let G=(V, E) be a (p, q) simple graph. Let  V  ( G ) = { ν i / i  = 1,2, …  p } and E ( G ) = { e i / i  = 1,2, …  q }. The total matrix  T  =  T ( G ) of G is a square matrix of order p + q whose (i, j)-entry is defined as:  T = ( t i j ) = { 1 if v i adjacent to v j i ≠ j 1 if e i adjacent to e j i ≠ j 1 e i incident with v j 0 otherwise The Total Energy of a graph is the sum of absolute value of the eigen values of its Total matrix  T ( G ). For any (p, q) graph G, the total number of eigen value is p+q. Let  λ 1 ,  λ 2 ,  λ 3 , …  λ p + q be the eigen values of T. Then total energy of G is  T E  =  ∑ i + 1 p + q | λ i | .

Total Energy of Cycle and Some Cycle Related Graphs