On generalized sum-connectivity energy

The generalized sum-connectivity index [3] of a graph G is denoted by (G) and it is defined as) , () ( + ) and the generalized sum-connectivity matrix of the graph is denoted by GSC(G) and is defined byThe sum of absolute values of the eigenvalues of GSC(G) is called generalized sum-connectivity energy of the graph.In this paper, we established the bounds for the generalized sum-connectivity eigenvalues and obtained different bounds for (G) in terms of the trace of GSC 2 (G).Also established different bounds for generalized sum-connectivity energy and obtained for some classes of graphs.