The Braid Index of Complicated DNA Polyhedral Links

CORC > 厦门大学 > 数学科学－已发表论文

	The Braid Index of Complicated DNA Polyhedral Links
	Xiao-Sheng Cheng ; Xian'an Jin ; Jin XA(金贤安)
刊名	http://dx.doi.org/10.1371/journal.pone.0048968
	2012-11-20
关键词	JONES POLYNOMIALS KNOT OCTAHEDRON GRAPHS
英文摘要	The goal of this paper is to determine the braid index of two types of complicated DNA polyhedral links introduced by chemists and biologists in recent years. We shall study it in a more broad context and actually consider so-called Jaeger's links (more general Traldi's links) which contain, as special cases, both four types of simple polyhedral links whose braid indexes have been determined and the above two types of complicated DNA polyhedral links. Denote by b(L) and c(L) the braid index and crossing number of an oriented link L, respectively. Roughly speaking, in this paper, we prove that b(L) = c(L)/2 + 1 for any link L in a family including Jaeger's links and contained in Traldi's links, which is obtained by combining the MFW inequality and an Ohyama's result on upper bound of the braid index. Our result may be used to to characterize and analyze the structure and complexity of DNA polyhedra and entanglement in biopolymers.; National Natural Science Foundation of China [11101174, 10831001, 11271307]; Natural Science Foundation of Guangdong Province of China [S2011040003984]; Foundation for Distinguished Young Talents in Higher Education of Guangdong, China [LYM11120]; Natural Science Foundation of Fujian Province of China [2012J01019]; Fundamental Research Funds for the Central Universities [2010121007]
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66810]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Xiao-Sheng Cheng,Xian'an Jin,Jin XA. The Braid Index of Complicated DNA Polyhedral Links[J]. http://dx.doi.org/10.1371/journal.pone.0048968,2012.
APA	Xiao-Sheng Cheng,Xian'an Jin,&金贤安.(2012).The Braid Index of Complicated DNA Polyhedral Links.http://dx.doi.org/10.1371/journal.pone.0048968.
MLA	Xiao-Sheng Cheng,et al."The Braid Index of Complicated DNA Polyhedral Links".http://dx.doi.org/10.1371/journal.pone.0048968 (2012).