Abstract
A correspondence is pointed out between the triangulation of convex polygons on the one hand and the enumeration of isomers of conjugated polyenes on the other.
Similar content being viewed by others
References
Grimaldi, R. P.Discrete and Combinatorial Mathematics, 3rd ed.; Addison-Wesley: Reading, MA, 1994.
Brown, W. G.Am. Math. Monthly 1965,72, 973–977.
Motzkin, T.Bull. Am. Math. Soc. 1948,54, 352–360.
Moon, J. W.; Moser, L.Can. Math. Bull. 1963,6, 175–178.
Guy, R. K.Bull. Malayan Math. Soc. 1968,5, 57–60.
Harary, F.; Palmer, E. M.Mathematika 1968,15, 115–122.
Beineke, L. W.; Pippert, R. E.Math. Ann. 1971,191, 87–98.
Harary, F.; Palmer, E. M.; Read, R. C.Discrete Math. 1975,11, 371–389.
Trinajstić, N.Chemical Graph Theory, 2nd ed.; CRC: Boca Raton, 1992.
Kirby, E. C.J. Math. Chem. 1992,11, 187–197.
Balaban, A. T.Rev. Roum. Chim. 1976,21, 1045–1047.
Cyvin, S. J.; Brunvoll, J.; Cyvin, B. N.; Brendsdal, E. inAdvances in Molecular Structure Research, Vol. 2.
Cyvin, S. J.: Brunvoll, J.; Brendsdal, E.; Cyvin, B. N.; Lloyd, E. K.J. Chem. Inf. Comput. Sci.,1995,35, 743–751.
Balaban, A. T.; Harary, F.Tetrahedron 1968,24, 2505–2516.
Nikolić, S.; Trinajstić, N.; Knop, J. V.; Müller, W. R.; Szymanski, K.J. Math. Chem. 1990,4, 357–375.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Cyvin, S.J., Lloyd, E.K., Cyvin, B.N. et al. Chemical relevance of a pure combinatorial problem: Isomers of conjugated polyenes. Struct Chem 7, 183–186 (1996). https://doi.org/10.1007/BF02281229
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02281229