11 citations · 28 across the 17 of their papers we have counts for
18 papers
Linear Upper Bounds on the Ribbonlength of Knots and Links
Hyoungjun Kim, Sungjong No, Hyungkee Yoo
A knotted ribbon is one of physical aspect of a knot. A folded ribbon knot is a depiction of a knot obtained by folding a long and thin rectangular strip to become flat. The ribbon…
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…
Petal number of torus knots using superbridge indices
Hyoungjun Kim, Sungjong No, Hyungkee Yoo
A petal projection of a knot is a projection of a knot which consists of a single multi-crossing and non-nested loops. Since a petal projection gives a sequence of natural numb…
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…