7 citations · 8 across the 6 of their papers we have counts for
6 papers · 1 filter
Chirality for simple graphs of size up to 12
Howon Choi, Hyoungjun Kim, Sungjong No
Chirality is one of the important assymmetrical property in wide area of natural science, which has been studied to predict molecular behavior. One of good methods to analyze molec…
Ribbonlength of twisted torus knots
Hyoungjun Kim, Sungjong No, Hyungkee Yoo
The ribbonlength Rib of a knot is the infimum of the ratio of the length of any flat knotted ribbon with core to its width. A twisted torus knot is obtai…
Folded ribbonlength of 2-bridge knots
Hyoungjun Kim, Sungjong No, Hyungkee Yoo
A ribbon is a two-dimensional object with one-dimensional properties which is related with geometry, robotics and molecular biology. A folded ribbon structure provides a complex st…
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…