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	Zeros of the Jones polynomial are dense in the complex plane
	Jin, XA ; Jin XA(金贤安) ; Zhang, FJ ; Zhang FJ(张福基) ; Dong, FM ; Tay, EG
	2010-07-10
关键词	GRAPHS LINKS FAMILIES KNOTS
英文摘要	In this paper, we present a formula for computing the Tutte polynomial of the signed graph formed from a labeled graph by edge replacements in terms of the chain polynomial of the labeled graph. Then we define a family of ring of tangles links and consider zeros of their Jones polynomials. By applying the formula obtained, Beraha-Kahane-Weisss theorem and Sokals lemma, we prove that zeros of Jones polynomials of (pretzel) links are dense in the whole complex plane.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66799]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Jin, XA,Jin XA,Zhang, FJ,et al. Zeros of the Jones polynomial are dense in the complex plane[J],2010.
APA	Jin, XA,金贤安,Zhang, FJ,张福基,Dong, FM,&Tay, EG.(2010).Zeros of the Jones polynomial are dense in the complex plane..
MLA	Jin, XA,et al."Zeros of the Jones polynomial are dense in the complex plane".(2010).

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