A Comparison of the Schultz Molecular Topological Index with the Wiener Index
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چکیده
منابع مشابه
A Comparison of the Schultz Molecular Topological Index with the Wiener Index
The Schultz molecular topological index (MTI) is compared with the Wiener index (W) of a molecular graph. It is shown that 2VminW < MTI e 4VmaxW holds for any (connected) graph Γ, with Vmin and Vmax denoting the smallest and the largest valency, respectively, of the vertices of Γ. For molecular graphs these bounds can be further improved. For instance, for benzenoid systems we have the followin...
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For a graph G = (V,E), the modified Schultz index of G is defined as S∗(G) = ∑ {u,v}⊂V (G) (dG(u) · dG(v))dG(u, v) where dG(u) (or d(u)) is the degree of the vertex u of G, and dG(u, v) is the distance between u and v. Lower bounds on modified Schultz index in trees in terms of the order and diameter are determined. Mathematics Subject Classification: 05C05, 05C12
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ژورنال
عنوان ژورنال: Journal of Chemical Information and Computer Sciences
سال: 1996
ISSN: 0095-2338
DOI: 10.1021/ci9603689