All prime knots through 10 crossings have superbridge index ≤ 5

DOI10.1142/S0218216522500237zbMath1494.57011arXiv2112.10902OpenAlexW4225151852WikidataQ114072875 ScholiaQ114072875MaRDI QIDQ5085863

Clayton Shonkwiler

Publication date: 30 June 2022

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.10902

zbMATH Keywords

knotsstick numbersuperbridge indexrandom polygonsequilateral stick number

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Knot theory (57K10)

Related Items (2)

New superbridge index calculations from non-minimal realizations ⋮ The stick number of rail arcs

Uses Software

• KnotPlot
• KnotInfo
• GitHub
• stick-knot-gen

Cites Work

• A new knot invariant
• Energy, ropelength, and other physical aspects of equilateral knots.
• AN UPPER BOUND ON STICK NUMBER OF KNOTS
• Stick numbers of 2-bridge knots and links
• On the Braid Index of Alternating Links
• KNOTTING OF REGULAR POLYGONS IN 3-SPACE
• AN ELEMENTARY INVARIANT OF KNOTS
• Stick Numbers and Composition of Knots and Links
• Polygon Indices and Superbridge Indices of Torus Knots and Links
• GEOMETRIC KNOT SPACES AND POLYGONAL ISOTOPY
• A COMPUTATION OF SUPERBRIDGE INDEX OF KNOTS
• New computations of the superbridge index
• Superbridge and bridge indices for knots
• New Stick Number Bounds from Random Sampling of Confined Polygons
• Ramsey Theorems for Knots, Links and Spatial Graphs
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