Event
01_1
| 제출번호(No.) | 0144 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Topology (TO) |
| 영문제목 (Title(Eng.)) |
Upper bound on stick number of Montesinos link |
| 저자(Author(s)) |
Sungjong No1, Seungsang Oh2, Hwa Jeong Lee3 Ewha Womans University 1, Korea University2, DGIST3 |
| 초록본문(Abstract) | Negami found an upper bound on the stick number $s(K)$ of a nontrivial knot $K$ in terms of the minimal crossing number $c(K)$, which is $s(K) \leq 2c(K)$. Huh, No and Oh proved that $s(L) \leq c(L)+2$ for all $2$-bridge knots and links $L$ with at least six crossings. Let $K$ be a knot or link which admits a reduced Montesinos diagram having $c(K)$ crossings. If each rational tangle of the diagram has five or more index of the related Conway notation, then $s(K)\leq c(K)+4$. In particular, if $K$ is alternating, then $s(K)\leq c(K)+1$. |
| 분류기호 (MSC number(s)) |
57M25 |
| 키워드(Keyword(s)) | knot, link, Montesinos, stick |
| 강연 형태 (Language of Session (Talk)) |
Korean |