Bounding Crossing Number in Rectangular and Hexagonal Knot Mosaics

Hugh Howards, Jiong Li, Liu, Xiaotian · arXiv (Cornell University) · 2024

Howards and Kobin give a sharp upper bound for crossing number of knots on rectangular mosaics. Here we extend the proof to create a new bound for hexagonal mosaics in all three natural settings and shorten the proof in the rectangular setting.

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