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Spanning Trees of Lattices Embedded on the Klein Bottle

The problem of enumerating spanning trees in lattices with Klein bottle boundary condition is considered here. The exact closed-form expressions of the numbers of spanning trees for 4.8.8 lattice, hexagonal lattice, and 3(3) ·4(2) lattice on the Klein bottle are presented.

Detalles Bibliográficos
Autor principal: Lu, Fuliang
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4163322/
https://www.ncbi.nlm.nih.gov/pubmed/25247204
http://dx.doi.org/10.1155/2014/452453
Descripción
Sumario:The problem of enumerating spanning trees in lattices with Klein bottle boundary condition is considered here. The exact closed-form expressions of the numbers of spanning trees for 4.8.8 lattice, hexagonal lattice, and 3(3) ·4(2) lattice on the Klein bottle are presented.