A topological index is a real number related to the structure of a connected graph G and is invariant under graph automorphism. Let G be a (molecular) graph possessing n vertices and m edges, and e=x,y be an edge of G and x, y are two of its vertices, then the distance d(x,y)=d(x,y|G) between the vertices x and y is equal to the length of the shortest path that connects them in G. The goal of t...

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