The Kauffman brackets for equivalence classes of links

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	The Kauffman brackets for equivalence classes of links
	Jin, XA ; Zhang, FJ ; Zhang FJ(张福基)
刊名	http://dx.doi.org/10.1016/j.aam.2004.02.002
	2005-01
关键词	HOMEOMORPHISM CLASSES GRAPHS POLYNOMIALS
英文摘要	It is well known that there is a one-to-one correspondence between link diagrams and signed plane graphs. In this paper, we define an equivalence relation on the set of link diagrams according to the reductions of their corresponding signed plane graphs. For all members of each equivalence class (with infinite number of members), we can compute their Kauffman bracket polynomials in a unified way. As an example, we deal with the links whose reductions of their corresponding signed plane graphs have small cyclomatic numbers. Furthermore, applying computer algebra (MAPLE) techniques, we calculate the Kauffman bracket polynomials of a set of links in a specified equivalence class. (C) 2004 Elsevier Inc. All rights reserved.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66336]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Jin, XA,Zhang, FJ,Zhang FJ. The Kauffman brackets for equivalence classes of links[J]. http://dx.doi.org/10.1016/j.aam.2004.02.002,2005.
APA	Jin, XA,Zhang, FJ,&张福基.(2005).The Kauffman brackets for equivalence classes of links.http://dx.doi.org/10.1016/j.aam.2004.02.002.
MLA	Jin, XA,et al."The Kauffman brackets for equivalence classes of links".http://dx.doi.org/10.1016/j.aam.2004.02.002 (2005).