11 citations · 37 across the 12 of their papers we have counts for
12 papers
Bounds on multiple self-avoiding polygons
Kyungpyo Hong, Seungsang Oh
A self-avoiding polygon is a lattice polygon consisting of a closed self-avoiding walk on a square lattice. Surprisingly little is known rigorously about the enumeration of self-av…
Enumeration on graph mosaics
Kyungpyo Hong, Seungsang Oh
Since the Jones polynomial was discovered, the connection between knot theory and quantum physics has been of great interest. Lomonaco and Kauffman introduced the knot mosaic syste…
Period and toroidal knot mosaics
Seungsang Oh, Kyungpyo Hong, Ho Lee +2
Knot mosaic theory was introduced by Lomonaco and Kauffman in the paper on `Quantum knots and mosaics' to give a precise and workable definition of quantum knots, intended to repre…
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…
Small knot mosaics and partition matrices
Kyungpyo Hong, Ho Lee, Hwa Jeong Lee +1
Lomonaco and Kauffman introduced knot mosaic system to give a definition of quantum knot system. This definition is intended to represent an actual physical quantum system. A knot…
Upper bound on the total number of knot -mosaics
Kyungpyo Hong, Ho Lee, Hwa Jeong Lee +1
Lomonaco and Kauffman introduced a knot mosaic system to give a definition of a quantum knot system which can be viewed as a blueprint for the construction of an actual physical qu…
Mosaic number of knots
Hwa Jeong Lee, Kyungpyo Hong, Ho Lee +1
Lomonaco and Kauffman developed knot mosaics to give a definition of a quantum knot system. This definition is intended to represent an actual physical quantum system. A knot -m…
Upper bound on lattice stick number of knots
KyungPyo Hong, SungJong No, SeungSang Oh
The lattice stick number of a knot is defined to be the minimal number of straight line segments required to construct a stick presentation of in the cubic lattice…