The general connectivity indices of catacondensed hexagonal systems

Journal of Mathematical Chemistry

Volumn 47, Issue 3, 2010, Pages 1112-1120

  Zheng, Jie ^a  

^a DONGHUA UNIVERSITY   (China)

Author keywords

Catacondensed hexagonal system; Inlet; The general connectivity index

Indexed keywords

EID: 77952287141     PISSN: 02599791     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10910-009-9639-9     Document Type: Article

References (24)

1. Balister P., Bollobás B., Gerke S.: The generalised Randié index of trees. J. Graph Theory 56(4), 270-286 (2007).
2. Bollobás B., Erdös P.: Graphs with extremal weights. Ars Combin. 50, 225-233 (1998).
3. Bollobás B., Erdös P., Sarkar A.: Extremal graphs for weights. Discrete Math. 200, 5-19 (1999).
4. Deogun J. S., Guo X., Wei W., Zhang F.: Catacondensed hexagonal systems with smaller numbers of Kekule Structures. J. Mol. Struct. (Theochem) 639, 101-108 (2003).
5. Devillers J., Balaban A. T.: Topological Indices and Related Descriptors in QSAR and QSPR. Gordon& Breach, NewYork (1999).
6. Gupta S. P.: QSAR studies on local anesthetics. Chem. Rev. 91, 1109-1119 (1991).
7. I. Gutman, in Advances in the Theory of Benzenoid Hydrocarbons 2, Topics in Current Chemistry, vol. 162 (Springer, Berlin, 1992).
8. Gutman I.: Extremal hexagonal chains. J. Math. Chem. 12, 197-210 (1993).
9. Gutman I., Cyvin S. J.: Introduction to the Theory of Benzenoid Hydrocarbons. Springer, Berlin (1989).
10. I. Gutman, S. J. Cyvin, in Advances in the Theory of Benzenoid Hydrocarbons, Topics in Current Chemistry, vol. 153 (Springer, Berlin, 1990).
11. Hu Y., Li X., Yuan Y.: Trees with minimum general Randic index. Match Commun. Math. Comput. Chem. 52, 119-128 (2004).
12. Hu Y., Li X., Yuan Y.: Trees with maximum general Randic index. Match commun. Math. Comput. Chem. 52, 129-146 (2004).
13. Kier L. B., Hall L. H.: Molecular Connectivity in Chemistry and Drug Research. Academic Press, New York (1976).
14. Kier L. B., Hall L. H.: Molecular Connectivity in Structure-Activity Analysis. Wiley, New York (1986).
15. Li X., Shi Y., Zhong L.: Minimum general Randié index on chemical trees with given order and number of pendent vertices. Match Commun. Math. Comput. Chem. 60, 539-554 (2008).
16. Li X., Wang X., Wei B.: On the lower and upper bounds for general Randié index of chemical (n, m)-graphs. Match Commun. Math. Comput. Chem. 52, 157-166 (2004).
17. Li X., Yang Y.: Sharp bounds for the general Randić index. Match Commun. Math. Comput. Chem. 51, 155-166 (2004).
18. Li X., Zheng J.: Extremal chemical trees with minimum or maximum general Randié index. Match Commun. Math. Comput. Chem. 55, 381-390 (2006).
19. Rada J.: Hexagonal systems with extremal connectivity index. Match Commun. Math. Comput. Chem. 52, 167-182 (2004).
20. Randié M.: On characterization of molecular branching. J. Am. Chem. Soc. 97, 6609-6615 (1975).
21. Shiu W. C.: Extremal Hosoya index and Merrifield-Simmons index of hexagonal spiders. Discrete Appl. Math. 156, 2978-2985 (2008).
22. Zhang J., Deng H., Chen S.: Second order Randié index of phenylenes and their corresponding hexagonal squeeze. J. Math. Chem. 42, 941-947 (2007).
23. Zhang J., Deng H.: Third order Randié index of phenylenes. J. Math. Chem 43, 12-18 (2008).
24. Zhang J., Deng H.: The hexagonal chains with the extremal 3rd -order Randié index. Appl. Math. Lett. (2009). doi: 10. 1016/j. aml. 2009. 07. 012.