4 papers · 1 filter
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…
The minor minimal intrinsically chiral graphs
Howon Choi, Hyoungjun Kim, Sungjong No
Molecular chirality is actively researched in a variety of areas of biology, including biochemistry, physiology, pharmacology, etc., and today many chiral compounds are widely know…
Circuit presentation and lattice stick number with exactly 4 -sticks
Hyoungjun Kim, Sungjong No
The lattice stick number of a link is defined to be the minimal number of straight line segments required to construct a stick presentation of in the cubic lattice…
More intrinsically knotted graphs with 22 edges and the restoring method
Hyoungjun Kim, Thomas Mattman, Seungsang Oh
A graph is called intrinsically knotted if every embedding of the graph contains a knotted cycle. Johnson, Kidwell and Michael, and, independently, Mattman showed that intrinsicall…