On Unicyclic Graph with Minimal Second Atom-Bond Connectivity Index
Received:April 22, 2018  Revised:November 08, 2018
Key Word: the second atom-bond connectivity index   unicyclic graph   fractional comparison   minimal value  
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Author NameAffiliation
Wenqin LIU College of Mathematics and System Sciences, Xinjiang University, Xinjiang 830046, P. R. China 
Biao ZHAO College of Mathematics and System Sciences, Xinjiang University, Xinjiang 830046, P. R. China 
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Abstract:
      Another version of atom-bond connectivity index was defined by Graovac and Ghorbani, and called the second atom-bond connectivity index($ABC_{2}$), which can provide convenience for molecular feature and its extreme values are the focus of study. In this paper, by fractional comparison, we give the structural properties of the extremal graphs which attain the minimal $ABC_{2}$ index of unicyclic graphs of order $n$.
Citation:
DOI:10.3770/j.issn:2095-2651.2019.01.001
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