7 citations · 11 across the 16 of their papers we have counts for
16 papers
Four triangle-free intrinsically knotted graphs with 22 edges
Hyoungjun Kim, Thomas W. Mattman, Seungsang Oh
An intrinsically knotted graph is one for which every spatial embedding contains a nontrivially knotted cycle. Classifying such graphs is a central problem in spatial graph theory.…
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…
Bipartite intrinsically knotted graphs with 23 edges
Hyoungjun Kim, Thomas W Mattman, Seungsang Oh
A graph is intrinsically knotted if every embedding contains a nontrivially knotted cycle. It is known that intrinsically knotted graphs have at least 21 edges and that there are e…