Abstract:
The eigenvalue of a graph G is the eigenvalue of its adjacency matrix and the energy E(G) of graph G is the sum of absolute values of its eigenvalues. Two non-isomorphic graphs G1 and G2 of the same order are said to be equienergetic
if they have same energies. The complement of a graph G is the graph G with vertex set V (G) = V (G) and two vertices are adjacent in G if and only if they
are not adjacent in G. In the present work three pairs of equienergetic graphs have been obtained using graph complement.