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8328546 
Journal Article 
Kekulé structure counts for some classes of all-benzenoid and all-coronoid hydrocarbons 
Cyvin, SJ; Cyvin, BN; Brunvoll, J; Gutman, I 
1991 
Monatshefte für Chemie / Chemical Monthly
ISSN: 0026-9247
EISSN: 1434-4475 
Springer-Verlag 
122 
10 
771-787 
English 
A general formula for the Kekulé structure count (K) is deduced for the class of catacondensed all-benzenoids with unbranched backbones. The formula is extended to "thin" pericondensed all-benzenoids, where allowance is made for pyrene units. In this treatment the fragmentation matrices are employed. A generalization of these matrices is furnished. Next some general K formulas for classes of catacondensed and thin pericondensed all-coronoids are deduced. Again the fragmentation matrices are employed, but the problem is also studied in terms of certain polynomials. © 1991 Springer-Verlag. 
All-benzenoid hydrocarbon; All-coronoid hydrocarbon; Kekulé structure