论文标题
在棋盘的箭头多项式上可着色虚拟链接
On arrow polynomials of checkerboard colorable virtual links
论文作者
论文摘要
在本文中,我们提供了两个新的标准,即分别使用奇数旋转和虚拟链接的箭头多项式来检测虚拟链接的棋盘可着色性。通过应用新标准,我们证明了6个虚拟结不可色彩,仅留下一个虚拟结,其棋盘板在所有虚拟结中都不知道,最多可容纳四个经典交叉。
In this paper we give two new criteria of detecting the checkerboard colorability of virtual links by using odd writhe and arrow polynomial of virtual links, respectively. By applying new criteria, we prove that 6 virtual knots are not checkerboard colorable, leaving only one virtual knot whose checkerboard colorability is unknown among all virtual knots up to four classical crossings.