4 papers
A 2-chain can interlock with an open 10-chain
Bin Lu, Joseph O'Rourke, Jianyuan K. Zhong
It is an open problem, posed in \cite{SoCG}, to determine the minimal such that an open flexible -chain can interlock with a flexible 2-chain. It was first established in \c…
The Kauffman Polynomials of 2-bridge Knots
Bin Lu, Jianyuan K. Zhong
The 2-bridge knots are a family of knots with bridge number 2. In this paper, we compute the Kauffman polynomials of 2-bridge knots using the Kauffman skein theory and linear algeb…
The Kauffman polynomials of generalized Hopf links
Jianyuan K. Zhong, Bin Lu
Following the recent work by Chan, and by Morton and Hadji on the Homflypt polynomials of some generalized Hopf links, we investigate the Kauffman polynomials of generalized Hopf l…
On the Kauffman skein modules
Jianyuan K. Zhong, Bin Lu
Let k be a subring of the field of rational functions in α, s which contains α^{1}, α^{-1}, s^{1}, s^{-1}, . Let M be a compact oriented 3-manifold, and let K(M) denote the Kauffma…