On the PI index of phenylenes and their hexagonal squeezes

Match

Volumn 60, Issue 1, 2008, Pages 135-142

  Gutman, Ivan ^a   Ashrafi, Ali Reza ^b  

^a UNIVERSITY OF KRAGUJEVAC   (Serbia)

^b UNIVERSITY OF KASHAN   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 46449121541     PISSN: 03406253     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (30)

1. I. Gutman, Cyclic conjugation energy effects in polycyclic & πr-electron systems, Monatsh. Chem. 136 (2005) 1055-1069.
2. I. Gutman, Easy method for the calculation of the algebraic structure count of phenylenes, J. Chem. Soc. Faraday Trans. 89 (1993) 2413-2416.
3. I. Gutman, S. J. Cyvin, J. Brunvoll, Enumeration of the isomers of phenylenes, Monatsh. Chem. 125 (1994) 887-894.
4. I. Gutman, A regularity for the total πr-electron energy of phenylenes, MATCH Commun. Math. Chem. 31 (1994) 99-110.
5. I. Gutman, S. Marković, L. Popović, Z. Spalević, L. Pavlović, The relation between the Wiener indices of phenylenes and their hexagonal squeezes, J. Serb. Chem. Soc. 62 (1997) 207-210.
6. L. Pavlović, I. Gutman, Wiener numbers of phenylenes: An exact result, J. Chem. Inf. Comput. Sci. 37 (1997) 355-358.
7. I. Gutman, S. Klavžar, Relations between Wiener numbers of benzenoid hydrocarbons and phenylenes, ACH Models Chem. 135 (1998) 45-55.
8. B. Furtula, I. Gutman, Ž. Tomović, A. Vesel, I. Pesek, Wiener-type topological indices of phenylenes, Indian J. Chem. 41A (2002) 1767-1772.
9. J. Rada, O. Araujo, I. Gutman, Randić index of benzenoid systems and phenylenes, Croat. Chem. Acta 74 (2001) 225-235.
10. I. Gutman, V. Ivanov-Petrović, Clar theory and phenylenes, J. Mol. Struct. (Theochem) 389 (1997) 227-232.
11. I. Gutman, S. Marković, A. Stajković, S. Kamidžorac, Correlations between π-electron properties of phenylenes and their hexagonal squeezes, J. Serb. Chem. Soc. 61 (1996) 873-879.
12. B. Furtula, I. Gutman, Assessing the distribution of πr-electrons into rings of phenylenes, Indian J. Chem. 45A (2006) 1977-1980.
13. I. Gutman, B. Furtula, A Kekulé structure basis for phenylenes, J. Mol. Struct. (Theochem) 770 (2006) 67-71.
14. P. V. Khadikar, On a novel structural descriptor PI, Nat. Acad. Sci. Lett. 23 (2000) 113-118.
15. P. V. Khadikar, P. P. Kale, N. V. Deshpande, S. Karmarkar, V. K. Agrawal, Novel PI indices of hexagonal chains, J. Math. Chem. 29 (2001) 143-150.
16. P. V. Khadikar, S. Karmarkar, V. K. Agrawal, A novel PI index and its applications to QSPR/QSAR studies, J. Chem. Inf. Comput. Sci. 41 (2001) 934-943.
17. P. V. Khadikar, S. Karmarkar, R. G. Varma, On the estimation of PI index of polyacenes, Acta Chim. Slov. 49 (2002) 755-771.
18. H. Deng, Extremal catacondensed hexagonal systems with respect to the PI index, MATCH Commun. Math. Comput. Chem. 55 (2006) 453-460.
19. S. Klavžar, On the PI index: Pi-Partitions and Cartesian product graphs, MATCH Commun. Math. Comput. Chem. 57 (2007) 573-586.
20. B. Manoochehrian, H. Yousefi-Azari, A. R. Ashrafi, PI Polynomial of some ben-zenoid graphs, MATCH Commun. Math. Comput. Chem. 57 (2007) 653-664.
21. H. Deng, S. Chen, ,J. Zhang, The PI index of phenylenes, J. Math. Chem. 41 (2007) 63-69.
22. P. J. John, P. V. Khadikar, J. Singh, A method of computing the PI index of benzenoid hydrocarbons using orthogonal cuts, J. Math. Chem., in press.
23. M. V. Diudea, M. S. Florescu, P. V. Khadikar, Molecular Topology and Its Applications, EfiCon Press, Bucharest, 2006.
24. I. Gutman, S. Klavžar, An algorithm for the calculation of the Szeged index of benzenoid hydrocarbons, J. Chem. Inf. Comput. Sci. 35 (1995) 1011-1014.
25. I. Gutman, S. Klavžar, A method for calculating Wiener numbers of benzenoid hydrocarbons, ACH Models Chem. 133 (1996) 389-399.
26. S. Klavžar, A. Rajapakse, I. Gutman, The Szeged and the Wiener index of graphs, Appl. Math. Lett. 9 (5) (1996) 45-49.
27. S. Klavžar, I. Gutman, Relation between Wiener-type topological indices of benzenoid molecules, Chem. Phys. Lett. 373 (2003) 328-332.
28. I. Gutman, S. J. Cyvin, Elementary edge-cuts in the theory of benzenoid hydrocarbons, MATCH Commun. Math. Comput. Chem. 36 (1997) 177-184.
29. I. Gutman, L. Popović, L. Pavlović, Elementary edge-cuts in the theory of benzenoid hydrocarbons - an application, MATCH Commun. Math. Comput. Chem. 36 (1997) 217-229.
30. S. Klavžar, I. Gutman, A theorem on Wiener-type invariants for isometric subgraphs of hypercubes, Appl. Math. Lett. 19 (2006) 1129-1133.