NameKyung Pyo Hong
AffiliationKOREA UNIVERSITY
Talk typeSession
TimeJan 9 17:10~17:30
LocationE11-102
TitleLattice 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 non-trivial knot $K$ except $3_1$, $4_1$ and $s_L(5_1)=s_L(5_2)=16$.
Slide102-1-9/LATTICE_STICK_NUMBER_OF_SMALL_KNOT_3.pptm