Affiliation:
1. The University of Texas at Tyler, 3900 University Blvd, Tyler, TX 75799, USA
Abstract
This work is motivated by a paper of Huh and Oh, in which the authors prove that the minimum number of sticks required to form a knot in ℤ3 is 12. In this article the authors prove that the stick number in the simple hexagonal lattice is 11. Moreover, the stick number of the trefoil in the simple hexagonal lattice is 11.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
3 articles.
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1. Bounds in simple hexagonal lattice and classification of 11-stick knots;Journal of Knot Theory and Its Ramifications;2023-12
2. Stick numbers in the simple hexagonal lattice;Involve, a Journal of Mathematics;2015-06-05
3. Link lengths and their growth powers;Journal of Physics A: Mathematical and Theoretical;2014-12-19