Fusenes and benzenoids with perfect matchings

Journal of Mathematical Chemistry

Volumn 42, Issue 4, 2007, Pages 909-924

  Brinkmann, Gunnar ^a   Grothaus, Christian ^b   Gutman, Ivan ^c  

^a GHENT UNIVERSITY   (Belgium)

^b BIELEFELD UNIVERSITY   (Germany)

^c UNIVERSITY OF KRAGUJEVAC   (Serbia)

Author keywords

Benzenoid; Enumeration; Fusene; Kekul structure; Matching

Indexed keywords

EID: 38149103525     PISSN: 02599791     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10910-006-9148-z     Document Type: Article

References (30)

1. Balaban A.T., Harary F., (1968). Tetrahedron 24: 2505
2. J.R. Dias, Handbook of Polycyclic Hydrocarbons. Part A: benzenoid hydrocarbons. (Elsevier, 1987).
3. Gutman I., Cyvin S.J., Introduction to the Theory of Benzenoid Hydrocarbons (Springer Verlag, 1989).
4. A.T. Balaban, J. Brunvoll, J. Cioslowski, B.N. Cyvin, S.J. Cyvin, I. Gutman, W.J. He, J.V. Knop, M. Kovačević, W.R. Müller, K. Szymanski, R.Tošić and N. Trinajstić, Z. Naturforsch. 42a (1987) 863.
5. Balasubramanian K., Kaufmann J.J., Koski W.S., Balaban A.T., (1983). J Comput Chem 1: 149
6. Brinkmann G., Caporossi G., Hansen P., (2001). MATCH Commun. Math. Comput. Chem 43: 133
7. Brinkmann G., Caporossi G., Hansen P., (2002). J. Algorithms 45: 155
8. Brinkmann G., Caporossi G., Hansen P., (2003). J. Chem. Inf. Comp. Sci 43: 842
9. Brunvoll J., Cyvin B.N., Cyvin S.J., (1992). Top. Curr. Chem. 162: 65
10. Brunvoll J., Cyvin S.J., Cyvin B.N., Fuji Z., Guo X.F., (1996). Struct. Chem. 7: 119
11. Caporossi G., Hansen P., (1998). J. Chem. Inf. Comput. Sci. 38: 610
12. G.Caporossi, P.Hansen and M.Zheng, in Discrete Mathematical Chemistry DIMACS Workshop March 23-25 1998, pp. 63-78, 2000.
13. Cyvin B.N., Xiaofeng S.J., Cyvin S.J., Zhang F., (1992). Chem. Phys. Lett. 188: 537
14. He W.J., He W.C., Quang Q.X., Brunvoll J., Cyvin S.J., (1988). Z. Naturforsch 43a: 693
15. Knop J.V., Müller W.R., Szymanski K., Trinajstić N., (1990). J. Chem. Inf. Comput. Sci. 30: 159
16. Müller W.R., Szymanski K., Knop J.V., (1989). Croat Chem Acta 62: 481
17. Müller W.R., Szymanski K., Knop J.V., Nikolić S., Trinajstić N., (1990). J. Comput. Chem. 11: 223
18. Nikolić S., Trinajstić N., Knop J.V., Müller W.R., Szymanski K., (1990). J. Math. Chem. 4: 357
19. I.Stojmenović, R.Tošić and R.Doroslovacki, in Graph Theory, Proceedings of the sixth Yugoslav Seminar on Graph Theory, pp. 189-198. 1985.
20. Tošić R., Mašulović D., Stojmenović I., Brunvoll J., Cyvin S.J., Cyvin B.J., (1995). J. Chem. Inf. Comput. Sci. 35: 181
21. Vöge M., Guttmann A.J., Jensen I., (2002). J. Chem. Inf. Comp. Sci. 42: 456
22. Balaban A.T., (1985). J. Mol. Struct (Theochem) 120: 117
23. Clar E., (1972). The Aromatic Sextet. Wiley, London
24. Cyvin S.J., Gutman I., (1988). J. Serb. Chem. Soc 53: 391
25. Randić M., (2003). Chem. Rev 103: 3449
26. Aihara J., (1999). Phys. Chem. Chem. Phys 1: 3193
27. Harary F., Harborth H., (1976). J. Comb. Inf. Syst. Sci. 1: 1
28. Bornhöft J., Brinkmann G., Greinus J., (2003). Eur. J. Combinat. 24: 517
29. C.Grothaus, Konstruktion von Fusenen und Benzenoiden mit perfekten Matchings, 2005. Diplomarbeit, Universität Bielefeld.
30. J.Greinus, Patches mit minimaler Randlänge, 2001. Diplomarbeit, Universiät Bielefeld.