Name  Kyung Pyo Hong 

Affiliation  KOREA UNIVERSITY 
Talk type  Session 
Time  Jan 9 17:10~17:30 
Location  E11102 
Title  Lattice stick number of small knots 
Abstract 
Lattice stick number $s_{L}(K)$ is defined to be the minimal number
of sticks required to construct a polygonal representation of the
knot $K$ in the cubic lattice. It is known that $s_L(3_1)=12$ and $s_L(4_1)=14$. I will prove that $s_L(K)\geq 16$ for every nontrivial knot $K$ except $3_1$, $4_1$ and $s_L(5_1)=s_L(5_2)=16$.

Slide  10219/LATTICE_STICK_NUMBER_OF_SMALL_KNOT_3.pptm 