Abstract
Tree‐like octagonal systems (O) are catacondensed systems of octagons, which represent a class of polycyclic conjugated hydrocarbons. Their numbers of isomers are determined and expressed in terms of generating functions.
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A.T. Balaban and F. Harary, Tetrahedron 24 (1968) 2505.
S.J. Cyvin and J. Brunvoll, J. Math. Chem. 9 (1992) 33.
S.J. Cyvin, J. Brunvoll, E. Brendsdal, B.N. Cyvin and E.K. Lloyd, J. Chem. Inf. Comput. Sci. 35 (1995) 743.
S.J. Cyvin, J. Brunvoll and B.N. Cyvin, J. Math. Chem. 9 (1992) 19.
S.J. Cyvin, J. Brunvoll and B.N. Cyvin, J. Mol. Struct. (Theochem) 357 (1995) 255.
F. Harary and R.Z. Norman, Proc. Am. Math. Soc. 11 (1960) 332.
F. Harary, E.M. Palmer and R.C. Read, Discrete Math. 11 (1975) 371.
F. Harary and G. Prins, Acta Math. 101 (1959) 141.
F. Harary and R.C. Read, Proc. Edinburgh Math. Soc. II(17) (1970) 1.
F. Harary and R.W. Robinson, J. Reine Angew. Math. 278/279 (1975) 322.
J.V. Knop, K. Szymanski, Ž. Jeričević and N. Trinajstić, Commun. Math. Chem. 16 (1984) 119.
S. Nicolić, N. Trinajstić, J.V. Knop, W.R. Müller and K. Szymanski, J. Math. Chem. 4 (1990) 357.
R. Otter, Ann. Math. 49 (1948) 583.
R.C. Read, in: Chemical Applications of Graph Theory, ed. A.T. Balaban (Academic Press, London, 1976) p. 25.
R.W. Robinson, F. Harary and A.T. Balaban, Tetrahedron 32 (1976) 355.
F.J. Zhang, X.F. Guo, S.J. Cyvin and B.N. Cyvin, Chem. Phys. Letters 190 (1992) 104.
F.J. Zhang, X.F. Guo, S.J. Cyvin and B.N. Cyvin, J. Mol. Struct. (Theochem) 313 (1994) 351.
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Brunvoll, J., Cyvin, S. & Cyvin, B. Enumeration of tree‐like octagonal systems. Journal of Mathematical Chemistry 21, 193–196 (1997). https://doi.org/10.1023/A:1019122419384
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DOI: https://doi.org/10.1023/A:1019122419384