11 citations · 37 across the 12 of their papers we have counts for
5 papers · 1 filter
Quantum knots and the number of knot mosaics
Seungsang Oh, Kyungpyo Hong, Ho Lee +1
Lomonaco and Kauffman developed a knot mosaic system to introduce a precise and workable definition of a quantum knot system. This definition is intended to represent an actual phy…
Upper bounds on the minimal length of cubic lattice knots
Kyungpyo Hong, Sungjong No, Seungsang Oh
Knots have been considered to be useful models for simulating molecular chains such as DNA and proteins. One quantity that we are interested on molecular knots is the minimum numbe…
Minimum lattice length and ropelength of knots
Kyungpyo Hong, Hyoungjun Kim, Sungjong No +1
Let $\mbox{Len}(K)$ be the minimum length of a knot on the cubic lattice (namely the minimum length necessary to construct the knot in the cubic lattice). This paper provides upper…
Minimum lattice length and ropelength of 2-bridge knots and links
Youngsik Huh, Kyungpyo Hong, Hyoungjun Kim +2
Knots are commonly found in molecular chains such as DNA and proteins, and they have been considered to be useful models for structural analysis of these molecules. One interested…
Links with small lattice stick numbers
Kyungpyo Hong, Sungjong No, Seungsang Oh
Knots and links have been considered to be useful models for structural analysis of molecular chains such as DNA and proteins. One quantity that we are interested on molecular link…