Enumeration of the Staggered Conformers of Alkanes
Sven Josef Cyvin, JON BRUNVOLL, Bjørg N. Cyvin, Wolfgang Lüttke · Zeitschrift für Naturforschung A · 1995
Abstract Alkanoid systems are chemical graphs which can be embedded in the diamond lattice. They correspond to the staggered conformers of alkanes. Non-overlapping and overlapping systems are defined. The previously deduced algebraic solution for the numbers of unbranched alkanoids is revisited and reformulated in terms of generating functions. Computerized enumerations for non-overlapping alkanoids, both unbranched and branched, are reported. Some of the smallest overlap ping unbranched alkanoids are generated by a method called combinatorial constructions.