Atom–bond connectivity index of quasi-tree graphs

被引：6
作者：
Dehghan-Zadeh T. [1 ]
Ashrafi A.R. [1 ]
机构：
[1] Department of Pure Mathematics, University of Kashan, Kashan
来源：
Rendiconti del Circolo Matematico di Palermo (1952 -) | 2014年 / 63卷 / 3期
关键词：
Atom–bond connectivity index; Quasi-tree;
D O I：
10.1007/s12215-014-0164-8
中图分类号：
学科分类号：
摘要：
The atom–bond connectivity index is a useful graph invariant suitable for stability of alkanes and the strain energy of cycloalkanes. In this paper, the first, second and third maximum of this topological index in the class of all quasi-tree graphs are computed. © 2014, Springer-Verlag Italia.
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页码：347 / 354
页数：7
相关论文
共 20 条
[1]  
Ahmadi M.B., Hosseini S.A., Salehi P., Nowbandegani, On trees with minimal atom bond connectivity index, MATCH Commun. Math. Comput. Chem, 69, pp. 559-563, (2013)
[2]  
Ahmadi M.B., Hosseini S.A., Zarrinderakht M., On large trees with minimal atom-bond connectivity index, MATCH Commun. Math. Comput. Chem, 69, pp. 565-569, (2013)
[3]  
Ahmadi M.B., Dimitrov D., Gutman I., Hosseini S.A., Disproving a conjecture on trees with minimal atom-bond connectivity index, MATCH Commun. Math. Comput. Chem, 72, pp. 685-698, (2014)
[4]  
Chen J., Guo X., Extreme atom–bond connectivity index of graphs, MATCH Commun. Math. Comput. Chem, 65, pp. 713-722, (2011)
[5]  
Chen J., Liu J., Guo X., Some upper bounds for the atom–bond connectivity index of graphs, Appl. Math. Lett, 25, pp. 1077-1081, (2012)
[6]  
Das K.C., Atom–bond connectivity index of graphs, Discrete Appl. Math, 158, pp. 1181-1188, (2010)
[7]  
Das K.C., Gutman I., Furtula B., On atombond connectivity index, Chem. Phys. Lett, 511, pp. 452-454, (2011)
[8]  
Dimitrov D., On structural properties of trees with minimal atom-bond connectivity index, Discrete Appl. Math, 172, pp. 28-44, (2014)
[9]  
Estrada E., Atom–bond connectivity and the energetic of branched alkanes, Chem. Phys. Lett, 463, pp. 422-425, (2008)
[10]  
Estrada E., Torres L., Rodrguez L., Gutman I., An atom–bond connectivity index: modelling the enthalpy of formation of alkanes, Indian J. Chem, 37A, pp. 849-855, (1998)
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