有向纽结的可逆性

Reversibility of oriented knot

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.