H. Sachs, GRAPH-THEORETICAL MEANS FOR CALCULATING KEKULE AND HUCKEL PARAMETERS IN BENZENOID AND RELATED SYSTEMS, Journal of chemical information and computer sciences, 34(2), 1994, pp. 432-435
Citations number
11
Categorie Soggetti
Information Science & Library Science","Computer Application, Chemistry & Engineering","Computer Science Interdisciplinary Applications",Chemistry,"Computer Science Information Systems
In 1990, Kh. Al-Khnaifes, P. John, and the author described some simpl
e algorithms for calculating certain structural parameters (the number
of Kekule patterns, Pauling's bond orders, the number of spanning tre
es, the characteristic polynomial, the orbitals) of a benzenoid system
. Such a system is a section of the hexagonal tessellation (or lattice
) of the plane. In this paper, light is shed on the algebraic-combinat
orial background. An infinite class of tessellations of the plane is d
efined, and it is pointed out that the same methods can be applied to
sections of any tessellation of this class. Applications arise, e.g.,
in crystal physics in connection with the general dimer problem. Some
remarks are made, and some first results are given, on (finite) hexago
nal tessellations of the torus.