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J. A. Bondy and U. S. R. Murty, “Graph Theory,” Springer, 2008. doi:10.1007/978-1-84628-970-5

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.