论文标题
2桥结的折叠式缎带
Folded ribbonlength of 2-bridge knots
论文作者
论文摘要
色带是具有一维特性的二维对象，与几何，机器人和分子生物学有关。折叠的色带结构通过一系列折叠提供了复杂的结构。我们专注于带有打结的芯的折叠色带。一个结$ k $的折叠色带$ rib（k）$是代表打结$ k $的丝带中长度宽度的最小值。该数量说明了折叠色带的有效效率。库斯纳（Kusner）猜想折叠的色带长度是由最小交叉数字$ c（k）$的线性函数界定的。在本文中，我们确认2桥结$ k $的折叠式带有$ 2C（k）+2 $的折叠。
A ribbon is a two-dimensional object with one-dimensional properties which is related with geometry, robotics and molecular biology. A folded ribbon structure provides a complex structure through a series of folds. We focus on a folded ribbon with knotted core. The folded ribbonlength $Rib(K)$ of a knot $K$ is the infimum of the quotient of length by width among the ribbons representing a knot type of $K$. This quantity tells how efficiently the folded ribbon is realized. Kusner conjectured that folded ribbonlength is bounded by a linear function of the minimal crossing number $c(K)$. In this paper, we confirm that the folded ribbonlength of a 2-bridge knot $K$ is bounded above by $2c(K)+2$.
