Superbridge index of composite knots
Superbridge index of composite knots
复制标题
复合材料节点超桥指数
DOI：
10.1142/s0218216500000360
复制
发表时间：
2000
影响因子：
0.5
通讯作者：
G. T. Jin
中科院分区：
文献类型：
--
作者：
G. T. Jin
利用和数的辫指数给出了两个纽结连通和的超桥指数的一个上界。利用这个上界和最小多边形表示，我们给出了一个上界的超桥指数和桥指数的被加数时，他们是环面结。与两个节点的桥指数之和与它们的连通和的桥指数之差总是1的事实相反，对应的超级桥指数之差可以任意大。
An upper bound of the superbridge index of the connected sum of two knots is given in terms of the braid index of the summands. Using this upper bound and minimal polygonal presentations, we give an upper bound in terms of the superbridge index and the bridge index of the summands when they are torus knots. In contrast to the fact that the difference between the sum of bridge indices of two knots and the bridge index of their connected sum is always one, the corresponding difference for the superbridge index can be arbitrarily large.