On general Randić and general zeroth-order Randić indices

Match

Volumn 62, Issue 1, 2009, Pages 189-196

  Zhou, Bo ^a   Vukičević, Damir ^b  

^a SOUTH CHINA NORMAL UNIVERSITY   (China)

^b UNIVERSITY OF SPLIT   (Croatia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70350170480     PISSN: 03406253     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (20)

1. X. Li, I. Gutman, Mathematical Aspacts of Randić-type Molecular Structure Descriptors, Univ. Kragujevac, Kragujevac, 2006.
2. M. Randić, On characterization of molecular branching, J. Am. Chem. Soc. 97 (1975) 6609-6615.
3. L. B. Kier, L. H. Hall, The nature of structure-activity relationships and their relation to molecular connectivity, European J. Med. Chem. 12 (1977) 307-312.
4. L. B. Kier, L. H. Hall, Molecular Connectivity in Structure-Activity Analysis, Research Studies Press, Wiley, Chichester. UK, 1986.
5. L. Pogliani, From molecular connectivity indices to semiempirical connectivity terms: Recent trends in graph theoretical descriptors, Chem. Rev. 100 (2000) 3827-3858.
6. S. Siddhaye, K. Camarda, M. Southard, E. Topp, Pharmaceutical product design using combinatorial optimization, Comput. Chem. Eng. 28 (2004) 425-434.
7. I. Gutman, N. Trinajstić, Graph theory and molecular orbitals. Total π-electron energy of alternant hydrocarbons, Chem. Phys. Lett. 17 (1972) 535-538.
8. I. Gutman, B. Ruščić, N. Trinajstić, C. F. Wilcox, Graph theory and molecular orbitals. XII. Acyclic polyenes, J. Phys. Chem. 62 (1975) 3399-3405.
9. S. Nikolić, G. Kovačević, A. Miličević , N. Trinajstić, The Zagreb indices 30 years after, Croat. Chem. Acta 76 (2003) 113-124.
10. I. Gutman, K. C. Das, The first Zagreb index 30 years after, MATCH Commun. Math. Comput. Chem. 50 (2004) 83-92.
11. M. Aouchiche, J. M. Bonnefoy, A. Fidahoussen, G. Caporossi, P. Hansen, L. Hiesse, J. Lacheré, A. Monhait, Variable neighborhood search for extremal graphs 14: The AutoGraphiX 2 system, in L. Liberti, N. Maculan (Eds.), Global Optimization: From Theory to Implementation, Springer, 2005, pp. 281-310.
12. P. Hansen, D. Vukičević, Comparing the Zagreb indices, Croat. Chem. Acta 80 (2007) 165-168.
13. 2 indices for acyclic molecules, MATCH Commun. Math. Comput. Chem. 57 (2007) 587-590.
14. D. Vukičević, Comparing variable Zagreb indices, MATCH Commun. Math. Comput. Chem. 57 (2007) 633-641.
15. B. Liu, I. Gutman, Estimating the Zagreb and the general Randić indices, MATCH Commun. Math. Comput. Chem. 57 (2007) 617-632.
16. M. Lu, H. Liu, F. Tian, The connectivity index, MATCH Commun. Math. Comput. Chem. 51 (2004) 149-154.
17. T. S. Motzkin, E. G. Straus, Maxima for graphs and a new proof of a theorem of Turán, Canad. J. Math. 17 (1965) 533-540.
18. B. Zhou, Remarks on Zagreb indices, MATCH Commun. Math. Comput. Chem. 57 (2007) 591-596.
19. B. Zhou, Zagreb indices, MATCH Commun. Math. Comput. Chem. 50 (2004) 113-118.
20. O. Araujo, J. A. de la Peña, The connectivity index of a weighted graph, Lin. Algebra Appl. 283 (1998) 171-177. (Pubitemid 128378953)