The second Zagreb index of acyclic conjugated molecules

Match

Volumn 60, Issue 1, 2008, Pages 57-64

  Sun, Lingli ^a   Chen, Rong Si ^b  

^a HUAZHONG AGRICULTURAL UNIVERSITY   (China)

^b FUZHOU UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 46449089059     PISSN: 03406253     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (22)

1. A. T. Balaban, I. Motoc, D. Bondchev, O. Mekenyan, Topological indices for structure - activity correlations, Topics Curr. Chem. 114 (1983) 21-55.
2. J. A. Bonday, U. S. Murty, Graph Theory and Its Applications, MacMillan, London, 1976.
3. K. C. Das, I. Gutman, Some properties of the second Zagreb index, MATCH Commun. Math. Comput. Chem. 52 (2004) 103-112.
4. I. Gutman, K. C. Das, The first Zagreb index 30 years after, MATCH Commun. Math. Comput. Chem. 50 (2004) 83-92.
5. I. Gutman, B. Ruščić, C. F. Wilcox, Graph theory and molecular orbitals. 12. Acyclic polyenes, J. Chem. Phys. 62 (1975) 3399-3405.
6. I. Gutman, N. Trinajstić, Graph theory and molecular orbitals. Total 7r-electron energy of alternant hydrocarbons, Chem. Phys. Lett. 17 (1972) 535-538.
7. Y. Hou, J. Li, Bounds on the largest eigenvalues of trees with a given size of matching, Lin. Algebra Appl. 342 (2002) 203-217.
8. L. B. Kier, L. H. Hall, Molecular Connectivity in Chemistry and Drug Research, Academic Press, San Francisco, 1976.
9. L. B. Kier, L. H. Hall, Molecular Connectivity in Structure-Activity Analysis, Wiley, New York, 1986.
10. B. Liu, I. Gutman, Upper bounds for Zagreb indices of connected graphs, MATCH Commun. Math. Comput. Chem. 55 (2006) 439-446.
11. H. Liu, M. Lu, F. Tian, Trees of extremal connectivity index, Discr. Appl. Math. 154 (2006) 106-119.
12. S. Nikolic, G. Kovacevic, A. Milicevic, N. Trinajstic, The Zagreb indices 30 years after, Croat. Chem. Acta 76 (2003) 113-124.
13. X. F. Pan, H. Q. Liu, J. M. Xu, Sharp lower bounds for the general Randić index of trees with a given size of matching, MATCH Commun. Math. Comput. Chem. 54 (2005) 465-480.
14. R. Todeschini, V. Consonni, Handbook of Molecular Descriptors, Wiley-VCH, Weinheim, 2000.
15. Z. Yan, H. Liu, H. Liu, Sharp bounds for the second Zagreb index of unicyclic graphs, J. Math. Chem., DOI: 10.1007/s10910-006-9132-7.
16. H. Zhang, S. Zhang, Unicyclic graphs with the first three smallest and largest first general Zagreb index, MATCH Commun. Math. Comput. Chem. 55 (2006) 427-438.
17. B. Zhou, Zagreb indices, MATCH Commun. Math. Comput. Chem. 52 (2004) 113-118.
18. B. Zhou, I. Gutman, Further properties of Zagreb indices, MATCH Commun. Math. Comput. Chem. 54 (2005) 233-239.
19. 2 indices for acyclic molecules, MATCH Commun. Math. Comput. Chem. 57 (2007) 587-590.
20. B. Zhou, Remarks on Zagreb indices, MATCH Commun. Math. Comput. Chem. 57 (2007) 591-596.
21. H. Deng, A unified approach to the extremal Zagreb indices for trees, unicyclic graphs and bicyclic graphs, MATCH Commun. Math. Comput. Chem. 57 (2007) 597-616.
22. B. Liu, I. Gutman, Estimating the Zagreb and the general Randić indices, MATCH Commun. Math. Comput. Chem. 57 (2007) 617-632.