Abstract
The minimal number of straight line segments required to construct a polygonal presentation of the knot K in the cubic lattice is called the lattice stick number of the knot K, denoted by . It is known that if the crossing number of K, , satisfies , and the main result of this paper is to improve this to if . Furthermore, we will show that for and which implies that this lower bound cannot be improved except for knots with higher crossing numbers.
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