JOURNAL OF SCIENCE AND ARTS, sa.1, ss.49-60, 2017 (ESCI)
Let be a simple connected graph. We redefined adjacency for any two vertices if there is connected two edges between any two vertices and. In this case, this vertices are called 2-adjacency and denoted by. In this study, we redefined the energy of Adjacency matrix A(G) and Laplacian matrix L(G) by using 2-adjacency definition. Also, we found some bounds for the energy of A(G) and L(G) of a graph, respectively by using 2 adjacency.