Abstract
In the simple hexagonal lattice, bridge number is used to establish a lower bound on stick numbers of knots. This result aids in giving a new proof that the minimal stick number is 11. In addition, the authors establish upper bounds for the stick number of a composite knot. Constructions for -torus knots and some 3-bridge knots are given requiring one more stick than the lower bound guarantees.
Citation
Ryan Bailey. Hans Chaumont. Melanie Dennis. Jennifer McLoud-Mann. Elise McMahon. Sara Melvin. Geoffrey Schuette. "Stick numbers in the simple hexagonal lattice." Involve 8 (3) 503 - 512, 2015. https://doi.org/10.2140/involve.2015.8.503
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