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arXiv · 2410.19570

Bounding Crossing Number in Rectangular and Hexagonal Knot Mosaics

Hugh Howards·Jiong Li·Xiaotian Liu
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Abstract

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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Hugh Howards, Jiong Li, Xiaotian Liu. 2024-10-25. Bounding Crossing Number in Rectangular and Hexagonal Knot Mosaics. https://arxiv.org/abs/2410.19570

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