7 citations · 11 across the 16 of their papers we have counts for
5 papers · 2 filters
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…
Bipartite intrinsically knotted graphs with 22 edges
Hyoungjun Kim, Thomas Mattman, Seungsang Oh
A graph is intrinsically knotted if every embedding contains a knotted cycle. It is known that intrinsically knotted graphs have at least 21 edges and that the KS graphs, and…
A new intrinsically knotted graph with 22 edges
Hyoungjun Kim, Hwa Jeong Lee, Minjung Lee +2
A graph is called intrinsically knotted if every embedding of the graph contains a knotted cycle. Johnson, Kidwell and Michael showed that intrinsically knotted graphs have at leas…
Equilateral stick number of knots
Hyoungjun Kim, Sungjong No, Seungsang Oh
An equilateral stick number of a knot is defined to be the minimal number of sticks required to construct a polygonal knot of which consists of equal length stic…