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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.
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Hindawi Publishing Corporation
2014
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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. |
format | Online Article Text |
id | pubmed-4163322 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2014 |
publisher | Hindawi Publishing Corporation |
record_format | MEDLINE/PubMed |
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 |