Computing the Szeged index of third and fourth dendrimer nanostars

Let e be an edge of a graph, G, connecting the vertices u and v. Define two sets N-1(e vertical bar G) and N-2( e vertical bar G) as N-1( e vertical bar G) {x is an element of V( G)vertical bar d(x, u), d(x, v)} and N-2( e vertical bar G) {x is an element of V(G)vertical bar d(x, v), < d(x, u)}. The number of elements of N-1(e vertical bar G) and N-2(e vertical bar G) are denoted by n(1)(e vertical bar G) and n(2)(e vertical bar G), respectively. The Szeged index of the graph G is defined as Sz(G) = Sigma(e is an element of E(G))n(1)(e vertical bar G) n(2)(e vertical bar G). In this Letter, the Szeged index of third and fourth dendrimer nanostars is computed.