1. S. BALA - Department of Mathematics, S.I.V.E.T. College, Gowrivakkam, Chennai.

2. T. VIJAY - Department of Mathematics, S.I.V.E.T. College, Gowrivakkam, Chennai.

3. K. THIRUSANGU - Department of Mathematics, S.I.V.E.T. College, Gowrivakkam, Chennai.

Let 𝐺 be a simple connected graph with 𝑝 vertices and 𝑞 edges. In this paper, we introduce the reachability degree sum energy of a graph and obtained reachability degree sum energy of some graphs. Also, we establish the upper and lower bound for this new energy.

Energy, Reachability Matrix, Degree Sum Matrix, Reachability Degree Sum Matrix, Reachability Degree Sum Eigen Values.