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 33·42 lattice on the Klein bottle are presented.

Bibliographic Details
Main Author: Fuliang Lu
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/452453
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spelling doaj-de2ac8fc12974a09acb7581b4b17a91c2020-11-25T02:00:33ZengHindawi LimitedThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/452453452453Spanning Trees of Lattices Embedded on the Klein BottleFuliang Lu0School of Sciences, Linyi University, Linyi, Shandong 276000, ChinaThe 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 33·42 lattice on the Klein bottle are presented.http://dx.doi.org/10.1155/2014/452453
collection DOAJ
language English
format Article
sources DOAJ
author Fuliang Lu
spellingShingle Fuliang Lu
Spanning Trees of Lattices Embedded on the Klein Bottle
The Scientific World Journal
author_facet Fuliang Lu
author_sort Fuliang Lu
title Spanning Trees of Lattices Embedded on the Klein Bottle
title_short 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_sort spanning trees of lattices embedded on the klein bottle
publisher Hindawi Limited
series The Scientific World Journal
issn 2356-6140
1537-744X
publishDate 2014-01-01
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 33·42 lattice on the Klein bottle are presented.
url http://dx.doi.org/10.1155/2014/452453
work_keys_str_mv AT fulianglu spanningtreesoflatticesembeddedonthekleinbottle
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