论文标题
超级桥索引的新计算
New Computations of the Superbridge Index
论文作者
论文摘要
带$ 8_1 $，$ 8_2 $，$ 8_3 $，$ 8_5 $，$ 8_6 $，$ 8_7 $，$ 8_8 $，$ 8_8 $，$ 8_ {10} $，$ 8_ {11} $，$ 8_ {12} $，$ 8_ {13} $，$ 8_ {13} $，$ 8_ {14} $，$ 8_ {14} $，$，$，$，$，$，$，15} $9_{16}$, $9_{20}$, $9_{26}$, $9_{28}$, $9_{32}$, and $9_{33}$ all have superbridge index equal to 4. This follows from new upper bounds on superbridge index not coming from the stick number and increases the number of knots from the Rolfsen table for which superbridge index is known from 29至49。附录A给出了通过10个十字路口的Prime结的超级桥指数知识的当前状态。
The knots $8_1$, $8_2$, $8_3$, $8_5$, $8_6$, $8_7$, $8_8$, $8_{10}$, $8_{11}$, $8_{12}$, $8_{13}$, $8_{14}$, $8_{15}$, $9_7$, $9_{16}$, $9_{20}$, $9_{26}$, $9_{28}$, $9_{32}$, and $9_{33}$ all have superbridge index equal to 4. This follows from new upper bounds on superbridge index not coming from the stick number and increases the number of knots from the Rolfsen table for which superbridge index is known from 29 to 49. Appendix A gives the current state of knowledge of superbridge index for prime knots through 10 crossings.
