CLAR POLYNOMIALS OF LARGE BENZENOID SYSTEMS

Citation
M. Randic et al., CLAR POLYNOMIALS OF LARGE BENZENOID SYSTEMS, Journal of chemical information and computer sciences, 38(4), 1998, pp. 563-574
Citations number
84
Categorie Soggetti
Computer Science Interdisciplinary Applications","Computer Science Information Systems","Computer Science Interdisciplinary Applications",Chemistry,"Computer Science Information Systems
ISSN journal
00952338
Volume
38
Issue
4
Year of publication
1998
Pages
563 - 574
Database
ISI
SICI code
0095-2338(1998)38:4<563:CPOLBS>2.0.ZU;2-8
Abstract
We discuss the constructions of Clar-like valence structures and the a ssociated Clar polynomials for large benzenoids. We have shown that Cl ar polynomial satisfy a theorem analogous to the Clarke's theorem for the characteristic polynomial of graphs, which allows one to reconstru ct the polynomial of a system from the polynomials associated with qua lified substructures. In the case of Clar's polynomial the substructur es are obtained by deleting individual benzene rings from the consider ed benzenoid, one at a time. This property of Clar polynomial allows o ne to construct the polynomial of larger systems from known Clar's pol ynomials of smaller benzenoids.