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
      Organic Chemistry
      Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE