Lu, Fuliang; Zhang, Lianzhu Dimers on two types of lattices on the Klein bottle. (English) Zbl 1257.82027 J. Phys. A, Math. Theor. 45, No. 49, Article ID 494012, 14 p. (2012). Summary: The problem of enumerating close-packed dimers, or perfect matchings, on two types of lattices (the so-called 8.8.4 and 8.8.6 lattices) embedded on the Klein bottle is considered, and we obtain the explicit expression of the number of close-packed dimers and entropy. Our results imply that 8.8.4 lattices have the same entropy under three different boundary conditions (cylindrical, toroidal and Klein bottle) and 8.8.6 lattices have the same property. Cited in 6 Documents MSC: 82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics Keywords:Klein bottle; close-packed dimers PDFBibTeX XMLCite \textit{F. Lu} and \textit{L. Zhang}, J. Phys. A, Math. Theor. 45, No. 49, Article ID 494012, 14 p. (2012; Zbl 1257.82027) Full Text: DOI