Accession Number : ADA183887
Title : Partitioning of Fibonacci Numbers Representing Kekule Structures.
Descriptive Note : Technical rept.,
Corporate Author : GEORGIA UNIV ATHENS DEPT OF CHEMISTRY
Personal Author(s) : El-Basil,Sherif
PDF Url : ADA183887
Report Date : 11 Aug 1987
Pagination or Media Count : 29
Abstract : When a Kekule structure is transformed into the subspace of its double bonds a factor of graph results. A function called degenerate transformation is defined on the set of factor graphs of a benzenoid system which was demonstrated to be an equivalence relation. For nonbranched catacondensed all-benzenoid, NBCCAB, hydrocarbons, this relation is shown to preserve the Fibonacci-type recursion of the number of their Kekule structures. Keywords: Graph theory, Factor graph, Fibonacci numbers, Equivalence relation.
Descriptors : *QUANTUM CHEMISTRY, *MOLECULAR STRUCTURE, *BENZENE, TRANSFORMATIONS, GRAPHS, THEORY, ORGANIC CHEMISTRY, TOPOLOGY, AROMATIC HYDROCARBONS
Subject Categories : Physical Chemistry
Distribution Statement : APPROVED FOR PUBLIC RELEASE