Bounding Crossing Number in Rectangular and Hexagonal Knot Mosaics
Geometric Topology
2024-10-28 v1
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.
Keywords
Cite
@article{arxiv.2410.19570,
title = {Bounding Crossing Number in Rectangular and Hexagonal Knot Mosaics},
author = {Hugh Howards and Jiong Li and Xiaotian Liu},
journal= {arXiv preprint arXiv:2410.19570},
year = {2024}
}
Comments
24 pages, 18 Figures