Name  Sung Jong No 

Affiliation  Korea University 
Talk type  Session 
Time  Jan 9 16:50~17:10 
Location  E11102 
Title  Upper bound on lattice stick number of knots 
Abstract 
The lattice stick number $s_L(K)$ of a knot $K$ is
defined to be the minimal number of straight line segments
required to construct a stick presentation of $K$ in the cubic lattice.
We find an upper bound on the lattice stick number of a nontrivial knot $K$,
except trefoil knot, in terms of the minimal crossing number $c(K)$ which is $s_L(K) \leq 3 c(K) +2$.
Moreover if $K$ is a nonalternating prime knot, then $s_L(K) \leq 3 c(K)  4$.

Slide  10219/SungjongNo.pptx 