G. T. Jin

activity

19992021

collaborators

13 papers

math.GT2021

Petal number of torus knots of type $(r, r + 2)$

Hwa Jeong Lee, Gyo Taek Jin

Let $r$ be an odd integer, $r \geq 3$ . Then the petal number of the torus knot of type $(r, r + 2)$ is equal to $2 r + 3$ .

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.GT2020

Prime knots with arc index 12 up to 16 crossings

Gyo Taek Jin, Hyuntae Kim, Seungwoo Lee +1

As a continuation of the previous works to tabulate the prime knots up to arc index 11, we provide the list of prime knots with arc index 12 up to 16 crossings and their minimal gr…

math.GT2017

Mutation invariance of the arc index for some Montesinos knots

Gyo Taek Jin, Ho Lee

For the alternating knots or links, mutations do not change the arc index. In the case of nonalternating knots, some semi-alternating knots or links have this property. We mainly f…

math.GT2012

Arc index of pretzel knots of type $(- p, q, r)$

Hwa Jeong Lee, Gyo Taek Jin

We computed the arc index for some of the pretzel knots $K = P (- p, q, r)$ with $p, q, r \geq 2$ , $r \geq q$ and at most one of $p, q, r$ is even. If $q = 2$ , then the arc index $α (K)$ equals the…

math.GT2011

Prime knots whose arc index is smaller than the crossing number