有向纽结的可逆性  

Reversibility of oriented knot

作　　者：张孝伍[1] ZHANG Xiao-wu(School of Science, Qingdao University of Technology, Qingdao 266520,Chin)

机构地区：[1]青岛理工大学理学院,青岛266520

出　　处：《青岛理工大学学报》2018年第1期107-110,共4页Journal of Qingdao University of Technology

摘　　要：将三维殴氏空间中的有向纽结在平面上的有向投影图L转换成边、角带有±1的平图G(L).G(L)之间的恒等性、对称性可以用来描述L的同痕性、可逆性.给出了有向纽结是可逆的充要条件,并且得到可逆纽结的构造方法.In this paper,the oriented projective graph L on plane for oriented knot in 3-space is transformed into plane graph G^→（L^→） whose edges and angles with＂±1＂symbol,the equivalence and reversibility character of oriented knot L^→ are described by the identical equality and the self-symmetry quality of G^→（L^→）.The necessary and sufficient condition of the oriented knot which is of reversibility is given,and the structure method of reversibility knot is given,too.

关 键 词：有向纽结 有向投影图 平图 可逆性 

分 类 号：O189.1[理学—数学]