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20112021
most citedKnot mosaic tabulation

14 citations · 25 across the 12 of their papers we have counts for

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math.GT2021

Petal number of torus knots of type

Hwa Jeong Lee, Gyo Taek Jin

Let be an odd integer, . Then the petal number of the torus knot of type is equal to .

math.GT2020

Minimal Grid Diagrams of the Prime Alternating Knots with 12 Crossings

Gyo Taek Jin, Hwa Jeong Lee

In this article, we give a list of minimal grid diagrams of the 12 crossing prime alternating knots. This is a continuation of the work in https://doi.org/10.1142/S0218216520500765

math.GT2017

Grid diagram for singular links

Byung Hee An, Hwa Jeong Lee

In this paper, we define the set of singular grid diagrams which provides a unified description for singular links, singular Legendrian links, singular transverse li…

math.GT2017

Period and toroidal knot mosaics

Seungsang Oh, Kyungpyo Hong, Ho Lee +2

Knot mosaic theory was introduced by Lomonaco and Kauffman in the paper on `Quantum knots and mosaics' to give a precise and workable definition of quantum knots, intended to repre…

math.GT2016★ 14 cited

Knot mosaic tabulation

Hwa Jeong Lee, Lewis D. Ludwig, Joseph S. Paat +1

In 2008, Lomonaco and Kauffman introduced a knot mosaic system to define a quantum knot system. A quantum knot is used to describe a physical quantum system such as the topology or…

math.GT2014★ 1 cited

Quantum knots and the number of knot mosaics

Seungsang Oh, Kyungpyo Hong, Ho Lee +1

Lomonaco and Kauffman developed a knot mosaic system to introduce a precise and workable definition of a quantum knot system. This definition is intended to represent an actual phy…