The Maximum Value for the Harary Index of Unicyclic Graphs with a Given Girth
Mathematical Theory and Applications ›› 2016, Vol. 36 ›› Issue (2): 22-27.
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Chen Dandan
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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
Chen Dandan.
The Maximum Value for the Harary Index of Unicyclic Graphs with a Given Girth [J]. Mathematical Theory and Applications, 2016, 36(2): 22-27.
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https://mta.csu.edu.cn/EN/Y2016/V36/I2/22