Croatica Chemica Acta, Vol. 71 No. 3, 1998.
Original scientific paper
Kekulé Count in Toroidal Hexagonal Carbon Cages
Peter E. John
; Technical University Ilmenau, Institute of Mathematics, PSF 100565, D–98684 Ilmenau, Germany
Abstract
After the fullerenes have been found, it is a natural question to ask whether there are torus-shaped »graphitoid« carbon molecules which may be called toroidal graphitoids. Note that the torus is the only closed surface S that can carry graphs G such that all vetices of G have degree 3 and all faces of the embedding of G in S are hexagons (Figure 1). In what follows, such (hypothetical) molecules (see Ref. 1a) and their molecular graphs will be referred to as »torenes«. Note that the first paper about this topic was given by M. Randić, Y. Tsukano, and H. Hosoya.1b In this paper, an algorithm is given that enables the number of Kekulé structures of a torene to be calculated in polynomial time (the complexity problem will be discussed elsewhere).
Keywords
Hrčak ID:
132358
URI
Publication date:
1.10.1998.
Visits: 950 *