Zeros of the Jones polynomials for families of pretzel links

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	Zeros of the Jones polynomials for families of pretzel links
	Jin, XN ; Zhang, FJ ; Zhang FJ(张福基)
刊名	http://dx.doi.org/10.1016/S0378-4371(03)00585-5
	2003-10-15
关键词	CHROMATIC POLYNOMIALS HOMEOMORPHISM CLASSES ASYMPTOTIC LIMITS POTTS-MODEL GRAPHS KNOTS
英文摘要	In this paper, a general method for computing the Tutte polynomial of the subdivision of a graph is explained. As an application to the subdivision of sheaf graph which consists of two vertices joined by some parallel edges, we obtain the explicit expressions of the Jones polynomials for some families of the pretzel links. Motivated by the work of Chang and Shrock, we investigate the zeros distribution of its Jones polynomial for each family when the number of crossings goes to infinity, and generalize some of their results. (C) 2003 Published by Elsevier B.V.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66351]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Jin, XN,Zhang, FJ,Zhang FJ. Zeros of the Jones polynomials for families of pretzel links[J]. http://dx.doi.org/10.1016/S0378-4371(03)00585-5,2003.
APA	Jin, XN,Zhang, FJ,&张福基.(2003).Zeros of the Jones polynomials for families of pretzel links.http://dx.doi.org/10.1016/S0378-4371(03)00585-5.
MLA	Jin, XN,et al."Zeros of the Jones polynomials for families of pretzel links".http://dx.doi.org/10.1016/S0378-4371(03)00585-5 (2003).