Potts model partition functions on two families of fractal lattices

CORC > 厦门大学 > 数学科学－已发表论文

	Potts model partition functions on two families of fractal lattices
	Gong, Helin ; Jin, Xian'An ; Jin XA(金贤安)
刊名	http://dx.doi.org/10.1016/j.physa.2014.07.047
	2014
关键词	Fractals Potts model
英文摘要	The partition function of q-state Potts model, or equivalently the Tutte polynomial, is computationally intractable for regular lattices. The purpose of this paper is to compute partition functions of q-state Potts model on two families of fractal lattices. Based on their self-similar structures and by applying the subgraph-decomposition method, we divide their Tutte polynomials into two summands, and for each summand we obtain a recursive formula involving the other summand. As a result, the number of spanning trees and their asymptotic growth constants, and a lower bound of the number of connected spanning subgraphs or acyclic root-connected orientations for each of such two lattices are obtained. ? 2014 Elsevier B.V. All rights reserved.
语种	英语
出版者	Elsevier
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91432]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Gong, Helin,Jin, Xian'An,Jin XA. Potts model partition functions on two families of fractal lattices[J]. http://dx.doi.org/10.1016/j.physa.2014.07.047,2014.
APA	Gong, Helin,Jin, Xian'An,&金贤安.(2014).Potts model partition functions on two families of fractal lattices.http://dx.doi.org/10.1016/j.physa.2014.07.047.
MLA	Gong, Helin,et al."Potts model partition functions on two families of fractal lattices".http://dx.doi.org/10.1016/j.physa.2014.07.047 (2014).