| The Second Largest Balaban Index (Sum-Balaban Index) of Unicyclic Graphs |
| Received:May 31, 2016 Revised:March 15, 2017 |
| Key Words:
Balaban index Sum-Balaban index unicyclic graph
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| Fund Project:Supported by the Natural Science Foundation of Anhui Province (Grant No.1508085MC55) and the Natural Science Foundation of Educational Government of Anhui Province (Grant No.KJ2013A076). |
| Author Name | Affiliation | | Wei FANG | School of Instrument and Electronics, North University of China, Shanxi 030051, P. R. China | | Yubin GAO | Department of Mathematics, North University of China, Shanxi 030051, P. R. China | | Kai FAN | Department of Mathematics, Southeast University, Jiangsu 211189, P. R. China | | Zhongshan LI | Department of Mathematics & Statistics, Georgia State University, Atlanta 30302, USA |
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| Abstract: |
| Balaban index and Sum-Balaban index were used in various quantitative structure-property relationship and quantitative structure activity relationship studies. In this paper, the unicyclic graphs with the second largest Balaban index and the second largest Sum-Balaban index among all unicyclic graphs on $n$ vertices are characterized, respectively. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2017.04.002 |
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