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AN UPPER BOUND ON STICK NUMBER OF KNOTS
- Authors
- Huh, Youngsik; Oh, Seungsang
- Issue Date
- 5월-2011
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- Keywords
- Knot; stick number; upper bound
- Citation
- JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v.20, no.5, pp.741 - 747
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS
- Volume
- 20
- Number
- 5
- Start Page
- 741
- End Page
- 747
- ISSN
- 0218-2165
- Abstract
- In 1991, Negami found an upper bound on the stick number s(K) of a nontrivial knot K in terms of crossing number c(K) which is s(K) <= 2c(K). In this paper we give a new upper bound in terms of arc index, and improve Negami's upper bound to s(K) <= 3/2 (c(K)+1). Moreover if K is a nonalternating prime knot, then s(K) <= 3/2 c(K).
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