论文标题

属和交叉数为$ 2 $桥结

Genera and crossing numbers of $2$-bridge knots

论文作者

Suzuki, Masaaki, Tran, Anh T.

论文摘要

在本文中,我们确定了给定交叉数的所有$ 2 $桥结的平均属。结果,随着交叉数的增长,我们获得了该值的倾斜渐近线。

In this paper, we determine the average genus of all the $2$-bridge knots with a given crossing number. As a consequence, we obtain the oblique asymptote of this value as the crossing number grows.

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