DIMER COVERINGS AND KEKULE STRUCTURES ON HONEYCOMB LATTICE STRIPS uri icon

abstract

  • The problem of covering every site of a subsection of the honeycomb lattice with disjoint edges is considered. It is pointed out that a type of long-range order associated to such coverings can occur, so that different phases can arise as a consequence of the subsection's boundaries. These features are quantitatively investigated via a new analytic solution for a class of strips of arbitrary widths, arbitrary lengths, and arbitrary long-range-order values. Relations to work on the dimer covering problem of statistical mechanics and especially to the resonance theory of benzenoid hydrocarbons are noted. 1986 Springer-Verlag.

published proceedings

  • THEORETICA CHIMICA ACTA

author list (cited authors)

  • KLEIN, D. J., HITE, G. E., SEITZ, W. A., & SCHMALZ, T. G.

citation count

  • 43

complete list of authors

  • KLEIN, DJ||HITE, GE||SEITZ, WA||SCHMALZ, TG

publication date

  • June 1986