3 papers
math.CO2018
Bounds on multiple self-avoiding polygons
Kyungpyo Hong, Seungsang Oh
A self-avoiding polygon is a lattice polygon consisting of a closed self-avoiding walk on a square lattice. Surprisingly little is known rigorously about the enumeration of self-av…
math.GT2017
Enumeration on graph mosaics
Kyungpyo Hong, Seungsang Oh
Since the Jones polynomial was discovered, the connection between knot theory and quantum physics has been of great interest. Lomonaco and Kauffman introduced the knot mosaic syste…
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…