KEKULE STRUCTURE COUNT AND ALGEBRAIC STRUCTURE COUNT OF MULTIPLE PHENYLENES

Authors
CYVIN SJ GUTMAN I BODROZAPANTIC O BRUNVOLL J
Citation
Sj. Cyvin et al., KEKULE STRUCTURE COUNT AND ALGEBRAIC STRUCTURE COUNT OF MULTIPLE PHENYLENES, ACH, models in chemistry, 131(6), 1994, pp. 777-790
Citations number
22
Categorie Soggetti
Chemistry
Journal title
ACH, models in chemistry → ACNP
ISSN journal
12178969
Volume
131
Issue
6
Year of publication
1994
Pages
777 - 790
Database
ISI
SICI code
1217-8969(1994)131:6<777:KSCAAS>2.0.ZU;2-J
Abstract
The Kekule structures of multiple phenylenes X(m,n) are enumerated. By means of specially designed computational algorithms both the Kekule structure count (K) and the algebraic structure count (A) of X(m,n) ar e determined. For the first few values of n explicit combinatorial exp ressions for K are deduced. It is verified that the recursion relation A{X(m+2,n)} = (n+1) A{X(m+1,n)} - [n/2] [n/2] A{X(m,n)} holds for all n greater than or equal to 1 and all m greater than or equal to 1.