The Modified Schultz Index of Trees

نویسندگان

  • Shubo Chen
  • Weijun Liu
  • W. Liu
چکیده

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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تاریخ انتشار 2010