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The Scientific World Journal
Volume 2014 (2014), Article ID 452453, 11 pages
http://dx.doi.org/10.1155/2014/452453
Research Article

Spanning Trees of Lattices Embedded on the Klein Bottle

School of Sciences, Linyi University, Linyi, Shandong 276000, China

Received 17 March 2014; Revised 28 July 2014; Accepted 3 August 2014; Published 27 August 2014

Academic Editor: Kinkar Ch Das

Copyright © 2014 Fuliang Lu. 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.

Abstract

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.