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B. Lucic, N. Trinajstic and B. Zhou, “Comparison be tween the Sum-Connectivity Index and Product-Con nectivity Index for Benzenoid Hydrocarbons,” Chemical Physics Letters, Vol. 475, No. 1-3, 2009, pp. 146-148. doi:10.1016/j.cplett.2009.05.022

has been cited by the following article:

• TITLE: On the Harmonic Index of Triangle-Free Graphs

  AUTHORS: Jianxi Liu

  KEYWORDS: Harmonic Index; Minimum Degree; Triangle-Free

  JOURNAL NAME: Applied Mathematics, Vol.4 No.8, August 6, 2013

  ABSTRACT: The harmonic index of a graphG is defined as where d(u) denotes the degree of a vertex u in G . In this work, we give another expression for the Harmonic index. Using this expression, we give the minimum value of the harmonic index for any triangle-free graphs with order n and minimum degree δ ≥ k for k≤ n/2 and show the corresponding extremal graph is the complete graph.