Dimer statistics on the Klein bottle

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	Dimer statistics on the Klein bottle
	Lu, F. L. ; Zhang, L. Z. ; Lin, F. G. ; Zhang LZ(张莲珠)
刊名	http://dx.doi.org/10.1016/j.physa.2011.02.038
	2011-06-15
关键词	PERFECT MATCHINGS NONORIENTABLE SURFACES QUADRATIC LATTICE GRAPHS ENUMERATION TORUS MECHANICS PFAFFIANS
英文摘要	NFSC [10831001]; The problem of enumerating close-packed dimers, or perfect matchings, on a quadratic lattice embedded on the Klein bottle is considered. Thomassen [C. Thomassen, Tilings of the torus and the Klein Bottle and vertex-transitive graphs on a fixed surface, Trans. Amer. Math. Soc. 323(2) (1991) 605-635] characterized that there are six quadrilateral lattices embedded on the Klein bottle. Lu and Wu [W. T. Lu and F. Y. Wu, Close-packed dimers on nonorientable surfaces, Phys. Lett. A 293 (2002) 235-246] had obtained a expression for the number of close-packed dimers on one of them. In this paper we investigate four other embeddings and obtain explicit expressions of the numbers of close-packed dimers and free energy per dimer by enumerating Pfaffians. (C) 2011 Elsevier B.V. All rights reserved.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66370]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Lu, F. L.,Zhang, L. Z.,Lin, F. G.,et al. Dimer statistics on the Klein bottle[J]. http://dx.doi.org/10.1016/j.physa.2011.02.038,2011.
APA	Lu, F. L.,Zhang, L. Z.,Lin, F. G.,&张莲珠.(2011).Dimer statistics on the Klein bottle.http://dx.doi.org/10.1016/j.physa.2011.02.038.
MLA	Lu, F. L.,et al."Dimer statistics on the Klein bottle".http://dx.doi.org/10.1016/j.physa.2011.02.038 (2011).