11 citations · 28 across the 17 of their papers we have counts for
6 papers · 1 filter
Stick numbers of -bridge knots and links
Youngsik Huh, Sungjong No, Seungsang Oh
Negami found an upper bound on the stick number of a nontrivial knot in terms of the minimal crossing number of the knot which is . Furthermore…
Upper bounds on the minimal length of cubic lattice knots
Kyungpyo Hong, Sungjong No, Seungsang Oh
Knots have been considered to be useful models for simulating molecular chains such as DNA and proteins. One quantity that we are interested on molecular knots is the minimum numbe…
Minimum lattice length and ropelength of knots
Kyungpyo Hong, Hyoungjun Kim, Sungjong No +1
Let $\mbox{Len}(K)$ be the minimum length of a knot on the cubic lattice (namely the minimum length necessary to construct the knot in the cubic lattice). This paper provides upper…
Minimum lattice length and ropelength of 2-bridge knots and links
Youngsik Huh, Kyungpyo Hong, Hyoungjun Kim +2
Knots are commonly found in molecular chains such as DNA and proteins, and they have been considered to be useful models for structural analysis of these molecules. One interested…
Links with small lattice stick numbers
Kyungpyo Hong, Sungjong No, Seungsang Oh
Knots and links have been considered to be useful models for structural analysis of molecular chains such as DNA and proteins. One quantity that we are interested on molecular link…
Equilateral stick number of knots
Hyoungjun Kim, Sungjong No, Seungsang Oh
An equilateral stick number of a knot is defined to be the minimal number of sticks required to construct a polygonal knot of which consists of equal length stic…