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). |
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