Mathematical Theory and Applications ›› 2016, Vol. 36 ›› Issue (2): 22-27.

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The Maximum Value for the Harary Index of Unicyclic Graphs with a Given Girth

Chen Dandan   

  1. Department of Public Course,Hunan Financial &Industrial Vocational-Technical College,Hengyang 421002,China
  • Online:2016-06-30 Published:2020-09-29

Abstract: In this paper,we first give a formula for calculating the Harary index of a unicyclic graph according to the structure,and then using this formula,we obtain the maximum value for the Harary index of unicyclic graphs with a given girth,and characterize the extremal graph with respect to the Harary index.

Key words: Girth, Unicyclic graph, Harary index, Reciprocal distance