26 citations · 114 across the 18 of their papers we have counts for
20 papers
Petal grid diagrams of torus knots
Eon-Kyung Lee, Sang-Jin Lee
A petal diagram of a knot is a projection with a single multi-crossing such that there are no nested loops. The petal number of a knot is the minimum number of loops amo…
An upper bound of the minimal asymptotic translation length of right-angled Artin groups on extension graphs
Eon-Kyung Lee, Sang-Jin Lee
For the right-angled Artin group action on the extension graph, it is known that the minimal asymptotic translation length is bounded above by 2 provided that the defining graph ha…
Acylindricity of the action of right-angled Artin groups on extension graphs
Eon-Kyung Lee, Sang-Jin Lee
The action of a right-angled Artin group on its extension graph is known to be acylindrical because the cardinality of the so-called -quasi-stabilizer of a pair of distant point…
Uniqueness of quasi-roots in right-angled Artin Groups
Eon-Kyung Lee, Sang-Jin Lee
We introduce the notion of quasi-roots and study their uniqueness in right-angled Artin groups.
Embeddability of right-angled Artin groups on complements of trees
Eon-Kyung Lee, Sang-Jin Lee
For a finite simplicial graph , let denote the right-angled Artin group on . Recently Kim and Koberda introduced the extension graph for , and established the…
Noncrossing partitions for periodic braids
Eon-Kyung Lee, Sang-Jin Lee
An element in Artin's braid group is called periodic if it has a power which lies in the center of . The conjugacy problem for periodic braids can be reduced to the foll…