Dimers on two types of lattices on the Klein bottle

作者：Lu Fuliang^*; Zhang Lianzhu

来源：Journal of Physics A-Mathematical and Theoretical, 2012, 45(49): 494012.

DOI：10.1088/1751-8113/45/49/494012

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.

• 出版日期2012-12-14
• 单位厦门大学