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math.GT2023
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…
math.GT2023
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…