Wiener-number-related sequences

Journal of Chemical Information and Computer Sciences

Volumn 39, Issue 3, 1999, Pages 534-536

  Klein, Douglas J ^a   Gutman, Ivan ^b  

^a TEXAS A AND M UNIVERSITY AT GALVESTON   (United States)

^b UNIVERSITY OF KRAGUJEVAC   (Serbia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001560665     PISSN: 00952338     EISSN: None     Source Type: Journal    
DOI: 10.1021/ci980133s     Document Type: Article

References (17)

1. Wiener, H. Structural Determination of Paraffin Boiling Points. J. Am. Chem. Soc. 1947, 69, 17-20.
2. Tratch, S. S.; Stankevitch, M. I.; Zefirov, J. Combinatorial Models and Algorithms in Chemistry. The Expanded Wiener Number - A Novel Topological Index. J. Comput. Chem. 1990, 11, 899-908.
3. Randić, M. Novel Molecular Descriptor for Structure-Property Studies. Chem. Phys. Lett. 1993, 211, 478-483.
4. Klein, D. J.; Randić, M. Resistance Distance. J. Math. Chem. 1993, 12, 81-95.
5. Khadikar, P. V.; Deshpande, N. V.; Kale, P. P.; Dobrynin, A.; Gutman, I.; Dömätör, G. The Szeged Index and an Analogy with the Wiener Index. J. Chem. Inf. Comput. Sci. 1995, 35, 547-550.
6. Gutman, I.; Mohar, B. The Quasi-Wiener and the Kirchhoff Indices Coincide. J. Chem. Inf. Comput. Sci. 1996, 36, 982-985.
7. Lukovits, I. An All-Path Version of the Wiener Index. J. Chem. Inf. Comput. Sci. 1998, 38, 125-129.
8. Randić, M. Molecular Shape Profiles. J. Chem. Inf. Comput. Sci. 1995, 35, 373-382.
9. Klein, D. J.; Lukovits, I.; Gutman, I. On the Definition of the Hyper-Wiener Index for Cycle-Containing Structures. J. Chem. Inf. Comput. Sci. 1995, 35, 50-52.
10. Zhu, H. Y.; Klein, D. J.; Lukovits, I. Extensions of the Wiener Number. J. Chem. Inf. Comput. Sci. 1996, 36, 420-428.
11. Gutman, I. Buckley-Type Relations for Wiener-Type Structure-Descriptors. J. Serb. Chem. Soc. 1998, 63, 487-492.
12. Estrada, E.; Ivanciuc, O.; Gutman, I.; Gutierrez, A.; Rodríguez, L. Extended Wiener Indices. A New Set of Descriptors for Quantitative Structure-Property Studies. New J. Chem. In press.
13. Randić, M.; Guo, X.; Oxley, T.; Krishnapriyan, H. Wiener Matrix: Source of Novel Graph Invariants. J. Chem. Inf. Comput. Sci. 1993, 33, 709-716.
14. Randić, M.; Guo, X.; Oxley, T.; Krishnapriyan, H.; Naylor, L. Wiener Matrix Invariants. J. Chem. Inf. Comput. Sci. 1994, 34, 361-367.
15. Lukovits, I.; Linert, W. A Novel Definition of the Hyper-Wiener Index for Cycles. J. Chem. Inf. Comput. Sci. 1994, 34, 899-902.
16. n(D) into a polynomial in the variable D is a classical mathematical result, due to Jacob Bernoulli (early XVIII century). For further details see, for instance: Encyclopaedia of Mathematics; Reidel: Dordrecht, 1987; Vol. 1, p 360.
17. Gutman, I.; Vidović, D.; Popović, L. On Graph Representation of Organic Molecules-Cayley's Plerograms vs His Kenograms. J. Chem. Soc., Faraday Trans. 1998, 94, 857-860.