4 citations · 20 across the 32 of their papers we have counts for
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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,…
Graphical virtual links and a polynomial of signed cyclic graphs
Qingying Deng, Xian'an Jin, Louis H Kauffman
For a signed cyclic graph G, we can construct a unique virtual link L by taking the medial construction and convert 4-valent vertices of the medial graph to crossings according to…
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…
Minimal sufficient sets of colors and minimum number of colors
Jun Ge, Xian'an Jin, Louis H. Kauffman +2
In this paper we first investigate minimal sufficient sets of colors for p=11 and 13. For odd prime p and any p-colorable link L with non-zero determinant, we give alternative proo…
When will the crossing number of an alternating link decrease by two via a crossing change?
Xian'an Jin, Fuji Zhang, Jun Ge
Let be a reduced alternating diagram of a non-split link and be the link whose diagram is obtained from by a crossing change. If is alternating,…