7 citations · 8 across the 3 of their papers we have counts for
3 papers
math.GT2014★ 1 cited
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…
math.GT2014★ 7 cited
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…
math.GT2014
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…