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math.GT2022
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…
math.CO2022
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…