4 papers
A diagrammatic approach to the three-page index
Hyungkee Yoo
The three-page index is an invariant that measures the complexity of representing a link in a three-page book. It is known that admits a linear upper bound…
New Upper Bounds on the Ribbonlength of Alternating Links with Bipartite Dual Graphs
Hyungkee Yoo
The ribbonlength of a link is a geometric invariant defined as the infimum of the ratio of the length to the width of a folded ribbon realization of the link. In this paper, we pro…
Three-page indices of torus links
Useong Jang, Minseo Lee, Hyungkee Yoo
An arc presentation of a link is an embedding into the open book decomposition of with a finite number of pages. An important rule of arc presentations is that diffe…
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…