Conjectured upper bound for the mosaic number of a knot
Conjectured upper bound for the mosaic number of a knot
Let be a knot with crossing number , and let be its mosaic number.
Mosaic-number upper-bound conjecture. The mosaic number satisfies
This conjecture is motivated by experimental evidence and proposes a sharper upper bound than the preceding general bound .
Sources & referencesView supporting material
Primary source
J. Alan Alewine, H. A. Dye, David Etheridge, Irina Garduno and Amber Ramos, “Bounds on Mosaic Knots”, arXiv:1004.2214 (2010).
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