Bounds on Mosaic Knots
J. Alan Alewine, H. A. Dye, David Etheridge, Irina Garduno, Amber, Ramos
TL;DR
This paper explores the mathematical relationships between the crossing number and mosaic number in mosaic knots, providing bounds that enhance understanding of their structural properties.
Contribution
It introduces new bounds relating crossing number and mosaic number, advancing the theoretical framework of mosaic knot analysis.
Findings
Derived bounds linking crossing number and mosaic number
Improved understanding of mosaic knot complexity
Theoretical insights into knot invariants
Abstract
We investigate relationships between bounds on the crossing number and the mosaic number of mosaic knots.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Combinatorial Mathematics · Computational Geometry and Mesh Generation