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math.GT2018
Lattice stick number of spatial graphs
Hyungkee Yoo, Chaeryn Lee, Seungsang Oh
The lattice stick number of knots is defined to be the minimal number of straight sticks in the cubic lattice required to construct a lattice stick presentation of the knot. We sim…
math.GT2018
Bisected vertex leveling of plane graphs: braid index, arc index and delta diagrams
Sungjong No, Seungsang Oh, Hyungkee Yoo
In this paper, we introduce a bisected vertex leveling of a plane graph. Using this planar embedding, we present elementary proofs of the well-known upper bounds in terms of the mi…