Trees with small randić connectivity indices

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Volumn , Issue 51, 2004, Pages 167-178

  Zhao, Haixing ^a,c   Li, Xueliang ^b  

^a NORTHWESTERN POLYTECHNICAL UNIVERSITY   (China)

^b NANKAI UNIVERSITY   (China)

^c QINGHAI NORMAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC METHOD; ARTICLE; MATHEMATICAL ANALYSIS; MATHEMATICS; RANDIC CONNECTIVITY INDEX;

EID: 9144263914     PISSN: 03406253     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (14)

1. O. Araujo and J. Rada, Randić index and lexicographic order, J. Math. Chem. 27 (2000) 19-30.
2. O. Araujo and J.A. de la Pena, The connectivity index of a weighted graph, Lin. Alg. Appl. 283 (1998) 171-177.
3. N. Biggs, Algebraic Graph Theory, Cambridge University Press, London, 1993.
4. B. Bollobás and P. Erdos, Graphs of extremal weights, Ars Combin. 50(1998) 223-225.
5. G. Caporossi, I. Gutman and P. Hansen, Variable neighborhood search for extremal graphs IV: Chemical trees with extremal connectivity index, Computers and Chemistry 23(1999) 469-477.
6. L.H. Clark and J.W. Moon, On the general Randić index for certain families of trees, Ars Combin. 54(2000) 223-235.
7. I. Gutman and M. Randić, Algebraic characterization of skeletal branching, Chem. Phys. Lett. 47 (1977) 15-19.
8. I. Gutman, O. Miljković, G. Caporossi and P. Hansen, Alkanes with small and large Randić connectivity indices, Chem. Phys. Lett. 306(1999) 366-372.
9. I. Gutman, O. Araujo and D.A. Morales, Bounds for the Randić connectivity index, J. Chem. Inf. Comput. Sci. 43(2000) 593-598.
10. P. Hansen and H. Mélot, Variable neighborhood search for extremal graphs 6. Analyzing bounds for the connectivity index, J. Chem. Inf. Comput. Sci. 43(2003) 1-14.
11. L.B. Kier and L.H. Hall, Molecular Connectivity in Chemistry and Drug Research, Academic Press, New York, 1976.
12. L.B. Kier and L.H. Hall, Molecular Connectivity in Structure-Activity Analysis, Wiley, New York, 1986.
13. M. Randić, On the characterization of molecular branching, J. Am. Chem. Soc. 97(1975) 6609-6615.
14. M. Randić, Representation of molecular graphs by basic graphs, J. Chem. Inf. Comput. Sci. 32(1992) 57-69.