7 citations · 8 across the 7 of their papers we have counts for
7 papers · 1 filter
Linking numbers of Montesinos links
Hyoungjun Kim, Sungjong No, Hyungkee Yoo
The linking number of an oriented two-component link is an invariant indicating how intertwined the two components are. Tuler proved that the linking number of a two-component rati…
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…
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…