AN UPPER BOUND ON STICK NUMBER OF KNOTS
2011 ◽
Vol 20
(05)
◽
pp. 741-747
◽
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 [Formula: see text]. Moreover if K is a nonalternating prime knot, then [Formula: see text].
2018 ◽
Vol 27
(08)
◽
pp. 1850044
Keyword(s):
2017 ◽
Vol 26
(14)
◽
pp. 1750100
◽
Keyword(s):
2010 ◽
Vol 19
(12)
◽
pp. 1655-1672
◽
Keyword(s):
2005 ◽
Vol 14
(06)
◽
pp. 713-733
◽
2000 ◽
Vol 10
(01)
◽
pp. 73-78
◽
Keyword(s):
Keyword(s):
2019 ◽
Vol 28
(14)
◽
pp. 1950085
Keyword(s):