AN UPPER BOUND ON STICK NUMBER OF KNOTS

作者：Huh Youngsik; Oh Seungsang^*

来源：Journal of Knot Theory and Its Ramifications, 2011, 20(5): 741-747.

DOI：10.1142/S0218216511008966

• Knot
• stick number
• upper bound

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).

• 出版日期2011-5