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
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.