2 citations · 2 across the 14 of their papers we have counts for
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Thistlethwaite Theorems for Knotoids and Linkoids
Sergei Chmutov, Qingying Deng, Joanna A. Ellis-Monaghan +2
The classical Thistlethwaite theorem for links can be phrased as asserting that the Kauffman bracket of a link can be obtained from an evaluation of the Bollobás-Riordan polynomial…
One conjecture on cut points of virtual links and the arrow polynomial of twisted links
Qingying Deng
Checkerboard framings are an extension of checkerboard colorings for virtual links. According to checkerboard framings, in 2017, Dye obtained an independent invariant of virtual li…
Projectors in the Virtual Temperley-Lieb Algebra
Qingying Deng, Xian'an Jin, Louis H. Kauffman
We present a method of defining projectors in the virtual Temperley-Lieb algebra, that generalizes the Jones-Wenzl projectors in Temperley-Lieb algebra. We show that the projectors…
On arrow polynomials of checkerboard colorable virtual links
Qingying Deng, Xian'an Jin, Louis H. Kauffman
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 apply…
The generalized Yamada polynomials of virtual spatial graphs
Qingying Deng, Xian'an Jin, Louis H. Kauffman
Classical knot theory can be generalized to virtual knot theory and spatial graph theory. In 2007, Fleming and Mellor combined virtual knot theory and spatial graph theory to form,…
The Minimal Coloring Number Of Any Non-splittable -colorable Link Is Four
Meiqiao Zhang, Xian'an Jin, Qingying Deng
K. Ichihara and E. Matsudo introduced the notions of -colorable links and the minimal coloring number for -colorable links, which is one of invariants for l…