The eccentric version of atom-bond connectivity index of tetra sheet networks

Among topological descriptor of graphs, the connectivity indices are very important and they have a prominent role in theoretical chemistry. The atom-bond connectivity index of a connected graph G is represented as ABC(G) =uv E(G)dv +du -2 dvdu, where dv represents the degree of a vertex v of G and the eccentric connectivity index of the molecular graph G is represented as (G) =v Vdv(v), where (v) is the maximum distance between the vertex v and any other vertex u of the graph G. The new eccentric atom-bond connectivity index of any connected graph G is defined as ABC5(G) =uv E(G)(u)+(v)-2 (u)(v). In this paper, we compute the new eccentric atom-bond connectivity index for infinite families of tetra sheets equilateral triangular and rectangular networks.