The connectivity index

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Volumn , Issue 51, 2004, Pages 149-154

  Lu, Mei ^a   Liu, Huiqing ^b   Tian, Feng ^b  

^a TSINGHUA UNIVERSITY   (China)

^b INSTITUTE OF SYSTEMS SCIENCE   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; CHEMISTRY; CONNECTIVITY INDEX; MATHEMATICAL ANALYSIS; MATHEMATICS; WEIGHT;

EID: 9144240737     PISSN: 03406253     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. B. Bollobás and P. Erdös, Graphs of extremal weights, Ars Combin. 50(1998), 225-233.
2. E. Estrada, Connectivity polynomial and long-range contributions in the molecular connectivity model, Chem. Phys. Lett. 312(1999), 556-560.
3. E. Estrada, Graph theoretical invariant of Randic revisited, J. Chem. Inf. Comput. Sci. 35(1995), 1022-1025.
4. I. Gutman, Impact of the Sachs theorem on theoretical chemistry: A participant's testimony, MATCH Commun. Math. Comput. Chem. 48(2003), 17-34.
5. I. Gutman and M. Lepović, Choosing the exponent in the definition of the connectivity, J. Serb. Chem. Soc. 66(2001), 605-611.
6. I. Gutman and D. Vidović, The largest eigenvalues of adjacency and Laplacian matrices, and ionization potentials of alkanes, Indian J. Chem. 41A (2002), 893-896.
7. I. Gutman, D. Vidović and B. Furtula, Chemical applications of the Laplacian spectrum. VII. Studies of the Wiener and Kirchhoff indices, Indian J. Chem. 42A (2003), 1272-1278.
8. I. Gutman, D. Vidović and A. Nedić, Ordering of alkane isomers by means of connectivity indices, J. Serb. Chem. Soc. 67(2)(2002), 87-97.
9. M. Hofmeister, Spectral radius and degree sequence, Math. Nachr. 139(1988), 37-44.
10. R.A. Horn, C.R. Johnson, Matrix Analysis, Cambridge Univ. Press, Cambridge, 1985.
11. L.B. Kier and L.H. Hall, Molecular Connectivity in Chemistry and Drug Research, Academic Press, San Francisco, 1976.
12. M. Randić, On characterization of molecular branching, J. Amer. Chem. Soc. 97(1975), 6609-6615.
13. M. Randić, P.J. Hansen and P.C. Jurs, Search for useful graph theoretical invariants of Molecular structure. J. Chem. Inf. Comput. Sci. 28(1988), 60-68.
14. R.P. Stanley, A bound on the spectral radius of graphs with e edges, Linear Algebra and its Application 87(1987), 267-269
15. W. Xiao and I. Gutman, On resistance matrices, MATCH Commun. Math. Comput. Chem. 49(2003), 67-81.