On Numerical Characterization of Cyclicity

Journal of Chemical Information and Computer Sciences

Volumn 40, Issue 3, 2000, Pages 520-523

  Pisanski, Tomaž ^a   Plavšić, Dejan ^b   Randić, Milan ^c  

^a UNIVERSITY OF LJUBLJANA   (Slovenia)

^b RUDER BO KOVI INSTITUTE   (Croatia)

^c DRAKE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001118882     PISSN: 00952338     EISSN: None     Source Type: Journal    
DOI: 10.1021/ci990035m     Document Type: Article

References (25)

1. Buckley, F.; Harary, F. Distance in Graphs; Addison-Wesley: Reading, MA, 1990.
2. Mihalić, Z.; Veljan, D.; Amić, D.; Nikolić, S.; Plavšić, D.; Trinajstić, N. The Distance Matrix in Chemistry. J. Math. Chem. 1992, 11, 223-258.
3. Wiener, H. Structural Determination of Paraffin Boiling Points. J. Am. Chem. Soc. 1947, 69, 17-20.
4. Hosoya, H. Topological Index. A Newly Proposed Quantity Characterizing the Topological Nature of Structural Isomers of Saturated Hydrocarbons. Bull. Chem. Soc. Jpn. 1971, 44, 2332-2339.
5. Harary, F. Graph Theory; Addison-Wesley: Reading, MA, 1969.
6. Lukovits, I. The Detour Index. Croat. Chem. Acta 1996, 69, 873-882.
7. Nikolić, S.; Trinajstić, N.; Jurić, A.; Mihalić, Z. The Detour Matrix and the Detour Index of Weighted Graphs. Croat. Chem. Acta 1996, 69, 1577-1591.
8. Lukovits, I.; Razinger, M. On Calculation of the Detour Index. J. Chem. Inf. Comput. Sci. 1997, 37, 283-286.
9. Trinajstić, N.; Nikolić, S.; Lućić, B.; Amić, D.; Mihalić, Z. The Detour Matrix in Chemistry. J. Chem. Inf. Comput. Sci. 1997, 37, 631-638.
10. Trinajstić, N.; Nikolić, S.; Mihalić, Z. On Computing the Molecular Detour Matrix. Int. J. Quantum Chem. 1997, 65, 415-419.
11. Randić, M.; DeAlba, L. M.; Harris, F. E. Graphs with the Same Detour Matrix. Croat. Chem. Acta 1998, 71, 53-68.
12. Randić, M. Search for Optimal Molecular Descriptors. Croat. Chem. Acta 1991, 64, 43-54.
13. Mohar, B.; Babić, D.; Trinajstić, N. A Novel Definition of the Wiener Index for Trees. J. Chem. Inf. Comput. Sci. 1993, 33, 153-154.
14. Randić, M. Novel Molecular Descriptor for Structure-Property Studies. Chem. Phys. Lett. 1993, 211, 478-483.
15. Randić, M.; Guo, X.; Oxley, T.; Krishnapriyan, H. Wiener Matrix: Source of Novel Graph Invariants. J. Chem. Inf. Comput. Sci. 1993, 33, 709-716.
16. Randić, M.; Guo, X.; Oxley, T.; Krishnapriyan, H.; Naylor, L. Wiener Matrix Invariants. J. Chem. Inf. Comput. Sci. 1994, 34, 361-367.
17. Randić, M.; Mihalić, Z.; Nikolić, S.; Trinajstić, N. Graphical Bond Orders: Novel Structural Descriptors. J. Chem. Inf. Comput. Sci. 1994, 34, 403-409.
18. Plavšić, D.; Šoškić, M.; Landeka, I.; Trinajstić, N. On the Relation between the P′/P Index and the Wiener Number. J. Chem. Inf. Comput. Sci. 1996, 36, 1123-1126.
19. Plavšić, D.; Šoškić, M.; Lerš, N. On the Calculation of the Molecular Descriptor χ′/χ. J. Chem. Inf. Comput. Sci. 1998, 38, 889-892.
20. Plavšić, D. On the Definition and Calculation of the Molecular Descriptor R′/R. Chem. Phys. Lett. 1999, 304, 111-116.
21. Plavšić, D.; Lerš, N.; Sertić-Bionda, K. On the Relation between W′/W Index, Hyper-Wiener Index, and Wiener Number. J. Chem. Inf. Comput. Sci., in press.
22. Randić, M.; Kleiner, A. F.; DeAlba, L. M. Distance/Distance Matrix. J. Chem. Inf. Comput. Sci. 1994, 34, 277-286.
23. Randić, M. On Characterization of Cyclic Structures. J. Chem. Inf. Comput. Sci. 1997, 37, 1063-1071.
24. Roberts, F. S. Applied Combinatorics; Prentice Hall: Englewood Cliffs, NJ, 1984.
25. Wolfram, S. Mathematica, A System of Doing Mathematics by Computer, 2nd ed.; Addison-Wesley: Reading, MA, 1991.