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Kerber, A. (1975) On Graphs and Their Enumeration, Part 1. Math. Chem. Comm., 1, 5-10; (1976) Part II, 2, 17-34. Kerber, A. (1979) Counting Isomers. In: Hinze, J., Ed., The Permutation Group in Physics and Chemistry, Springer-Verlag, Berlin, 1-18.

has been cited by the following article:

• TITLE: Enumeration of Stereoisomers of Chiral and Achiral Derivatives of Monocyclic Cycloalkanes Having Heteromorphous Alkyl Substituents with Distinct Length k

  AUTHORS: Alphonse Emadak, Ibrahim Mbouombouo Ndassa, Beauregard Thomas Makon, Issofa Patouossa, Robert Martin Nemba

  KEYWORDS: Enumeration, Stereoisomer, Chirality, Achirality, Monocyclic Cycloalkane, Order of Alkyl Trees, Polyalkylation

  JOURNAL NAME: Computational Chemistry, Vol.7 No.3, July 31, 2019

  ABSTRACT: A combinatorial method based on the determination of the averaged weight of permutations controlling the chirality/achirality fittingness of 2n substitution sites of the monocyclic cycloalkane allows to obtain generalized functional equations for direct enumeration of enantiomers pairs and achiral skeletons of any derivatives of monocyclic cycloalkanes having heteromorphic alkyl substituents with the distinct length k with the empirical formula , wherein at least two alkyl groupsof the distinct size each. is the number of alkyl radicals of the systemverifying the relation . The integer sequences of enantiomer pairs and achiral skeletons are given for substituted derivatives of monocyclic cycloalkane for n = 3, 4 and k = 3, 4, 5. The composite stereoisomerism of this particular compound is also highlighted.