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The Wiener index W(G) of a connected graph G is defined to be the sum ∑u,vd(u,v) of the distances between the pairs of vertices in G. Similarly, the edge-Wiener index We(G) of G is defined to be the sum ∑e,fd(e,f) of the distances between the pairs of edges in G, or equivalently, the Wiener index of the line graph L(G). Finally, the Gutman index Gut(G) is defined to be the sum ∑u,vdeg(u)deg(v)d(u,v),...
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