Dimers on two types of lattices on the Klein bottle
Identifieur interne : 005D26 ( Main/Exploration ); précédent : 005D25; suivant : 005D27Dimers on two types of lattices on the Klein bottle
Auteurs : FULIANG LU [République populaire de Chine] ; LIANZHU ZHANG [République populaire de Chine]Source :
- Journal of physics. A, Mathematical and theoretical : (Print) [ 1751-8113 ] ; 2012.
Descripteurs français
- Pascal (Inist)
English descriptors
- KwdEn :
Abstract
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.
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