STICK NUMBERS OF 2-BRIDGE KNOTS AND LINKS
- Title
- STICK NUMBERS OF 2-BRIDGE KNOTS AND LINKS
- Author
- 허영식
- Keywords
- Knot; stick number; 2-bridge
- Issue Date
- 2011-11
- Publisher
- Amer Mathemedical SOC
- Citation
- Proceeding of the American Mathemedical Society, 2011, 139(11), P.4143-4152
- 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) of the knot, which is s(K) <= 2c(K). Furthermore, McCabe proved that s(K) <= c(K) + 3 for a 2-bridge knot or link, except in the cases of the unlink and the Hopf link. In this paper we construct any 2-bridge knot or link K of at least six crossings by using only c(K) + 2 straight sticks. This gives a new upper bound on stick numbers of 2-bridge knots and links in terms of crossing numbers.
- URI
- http://www.ams.org/journals/proc/2011-139-11/S0002-9939-2011-10832-3/home.html
- ISSN
- 0002-9939; 1088-6826
- DOI
- 10.1090/S0002-9939-2011-10832-3
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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