A general modeling of some vertex-degree based topological indices in benzenoid systems and phenylenes

Computers and Mathematics with Applications

Volumn 61, Issue 10, 2011, Pages 3017-3023

  Deng, Hanyuan ^a   Yang, Jianguang ^b   Xia, Fangli ^b  

^a HUNAN NORMAL UNIVERSITY   (China)

^b HUNAN CITY UNIVERSITY   (China)

Author keywords

Benzenoid system; Extremal graph; Graph invariant; Phenylene

Indexed keywords

BENZENOID SYSTEM; CONNECTED GRAPH; EXTREMAL; EXTREMAL GRAPH; GRAPH INVARIANT; PHENYLENE; TOPOLOGICAL INDEX; UNIFIED APPROACH;

AROMATIC COMPOUNDS;

GRAPH THEORY;

EID: 79955843627     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2011.03.089     Document Type: Article

References (28)

1. I. Gutman, and S.J. Cyvin Introduction to the Theory of Benzenoid Hydrocarbons 1989 Springer-Verlag Berlin
2. J. Rada, O. Araujo, and I. Gutman Randi index of benzenoid systems and phenylenes Croat. Chem. Acta 74 2001 225 235 (Pubitemid 33614359)
3. J. Rada Hexagonal systems with extremal connectivity index MATCH Commun. Math. Comput. Chem. 52 2004 167 182 (Pubitemid 39456888)
4. X. Li, and Y. Shi A survey on the Randi index MATCH Commun. Math. Comput. Chem. 59 2008 127 156
5. X. Li, and Y. Shi An updated survey on the Randi index Recent Results in the Theory of Randic Index Mathematical Chemistry Monographs vol. 6 2008
6. B. Liu, and Z. You A survey on comparing Zagreb indices MATCH Commun. Math. Comput. Chem. 65 2011 581 593
7. K. Xu The Zagreb indices of graphs with a given clique number Appl. Math. Lett. 24 2011 1026 1030
8. K.C. Das, I. Gutman, and B. Furtula Survey on geometricarithmetic indices of graphs MATCH Commun. Math. Comput. Chem. 65 2011 595 644
9. K.C. Das Atom-bond connectivity index of graphs Discrete Appl. Math. 158 2010 1181 1188
10. R. Xing, B. Zhou, and Z. Du Further results on atom-bond connectivity index of trees Discrete Appl. Math. 158 2010 1536 1545
11. J. Rada Bounds for the Randi index of catacondensed systems Util. Math. 62 2002 155 162
12. J. Rada Second order Randi index of benzenoid systems Ars Combin. 72 2004 77 88 (Pubitemid 41453442)
13. J. Rada Randic decomposition of catacondensed systems Util. Math. 68 2005 155 164
14. J. Zheng The general connectivity indices of catacondensed hexagonal systems J. Math. Chem. 47 2010 1112 1120
15. J. Zhang, H. Deng, and S. Chen Second order Randi index of phenylenes and their corresponding hexagonal squeeze J. Math. Chem. 42 2007 941 947
16. J. Zhang, and H. Deng Third order Randi index of phenylenes J. Math. Chem. 43 2008 12 18
17. J. Zhang, H. Deng, and S. Chen Second order Randi index of phenylenes and their corresponding hexagonal squeezes J. Math. Chem. 42 2007 941 947
18. J. Zhang, and H. Deng The hexagonal chains with the extremal third order Randi index Appl. Math. Lett. 22 2009 1841 1845
19. R. Wu, and H. Deng The general connectivity indices of benzenoid systems and phenylenes MATCH Commun. Math. Comput. Chem. 64 2010 459 470
20. B. Bollobs, and P. Erds Graphs with extremal weights Ars Combin. 50 1998 225 233
21. M. Randi On characterization of molecular branching J. Am. Chem. Soc. 97 1975 6609 6615
22. S. Nikoli, G. Kovacevi, A. Milicevi, and N. Trinajsti The Zagreb indices 30 years after Croat. Chem. Acta 76 2003 113 124
23. I. Gutman, and K.C. Das The first Zagreb index 30 years after MATCH Commun. Math. Comput. Chem. 50 2004 83 92 (Pubitemid 40142723)
24. B. Zhou, and N. Trinajsti On general sum-connectivity index J. Math. Chem. 47 2010 210 218
25. B. Zhou, and N. Trinajsti On a novel connectivity index J. Math. Chem. 46 2009 1252 1270
26. D. Vukievi, and B. Furtula Topological index based on the ratios of geometrical and arithmetical means of end-vertex degrees of edges J. Math. Chem. 6 2009 1369 1376
27. E. Estrada, L. Torres, L. Rodrguez, and I. Gutman An atom-bond connectivity index: modelling the enthalpy of formation of alkanes Indian J. Chem. 37A 1998 849 855 (Pubitemid 128523835)
28. F. Harary, and H. Harborth Extremal animals J. Combin. Inform. System. Sci. 1 1976 1 8