The Homfly polynomial of double crossover links

CORC > 厦门大学 > 数学科学－已发表论文

	The Homfly polynomial of double crossover links
	Cheng, Xiao-Sheng ; Lei, Yujuan ; Yang, Weiling ; Cheng XS(程晓胜) ; Yang WL(杨维玲)
刊名	http://dx.doi.org/10.1007/s10910-013-0241-9
	2014
关键词	POLYHEDRAL LINKS HOMEOMORPHISM CLASSES DNA GRAPHS MOLECULES CHIRALITY KNOTS
英文摘要	National Natural Science Foundation of China [11101174, 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]; Motivated by double crossover DNA polyhedra (He et al. in Nature 452:198, 2008; Lin et al. in Biochemistry 48:1663, 2009; Zhang et al. in J Am Chem Soc 131:1413, 2009; Zhang et al. in Proc Natl Acad Sci USA 105:10665, 2008; He et al. in Angew Chem Int Ed 49:748, )2010, in this paper, we construct a new type of link, called the double crossover link, formed by utilizing the "-point star" to cover each vertex of a connected graph . The double crossover link can be used to characterize the topological properties of double crossover DNA polyhedra. We show that the Homfly polynomial of the double crossover link can be obtained from the chain polynomial of the truncated graph of with two distinct labels. As an application, by using computer algebra (Maple) techniques, the Homfly polynomial of a double crossover tetrahedral link is obtained. Our result may be used to characterize and analyze the topological structure of DNA polyhedra.
语种	英语
出版者	SPRINGER
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91391]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Cheng, Xiao-Sheng,Lei, Yujuan,Yang, Weiling,et al. The Homfly polynomial of double crossover links[J]. http://dx.doi.org/10.1007/s10910-013-0241-9,2014.
APA	Cheng, Xiao-Sheng,Lei, Yujuan,Yang, Weiling,程晓胜,&杨维玲.(2014).The Homfly polynomial of double crossover links.http://dx.doi.org/10.1007/s10910-013-0241-9.
MLA	Cheng, Xiao-Sheng,et al."The Homfly polynomial of double crossover links".http://dx.doi.org/10.1007/s10910-013-0241-9 (2014).