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arXiv · 2002.07361

On arrow polynomials of checkerboard colorable virtual links

Qingying Deng·Xian'an Jin·Louis H. Kauffman
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Abstract

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.

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Qingying Deng, Xian'an Jin, Louis H. Kauffman. 2020-02-18. On arrow polynomials of checkerboard colorable virtual links. https://arxiv.org/abs/2002.07361

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