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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
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author Lu, Fuliang
author_facet Lu, Fuliang
author_sort Lu, Fuliang
collection PubMed
description 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.
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spelling pubmed-41633222014-09-22 Spanning Trees of Lattices Embedded on the Klein Bottle Lu, Fuliang ScientificWorldJournal Research Article 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. Hindawi Publishing Corporation 2014 2014-08-27 /pmc/articles/PMC4163322/ /pubmed/25247204 http://dx.doi.org/10.1155/2014/452453 Text en Copyright © 2014 Fuliang Lu. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Lu, Fuliang
Spanning Trees of Lattices Embedded on the Klein Bottle
title Spanning Trees of Lattices Embedded on the Klein Bottle
title_full Spanning Trees of Lattices Embedded on the Klein Bottle
title_fullStr Spanning Trees of Lattices Embedded on the Klein Bottle
title_full_unstemmed Spanning Trees of Lattices Embedded on the Klein Bottle
title_short Spanning Trees of Lattices Embedded on the Klein Bottle
title_sort spanning trees of lattices embedded on the klein bottle
topic Research Article
url 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
work_keys_str_mv AT lufuliang spanningtreesoflatticesembeddedonthekleinbottle