New computations of the superbridge index

DOI10.1142/S0218216520500960zbMath1460.57006arXiv2009.13648OpenAlexW3113737977MaRDI QIDQ4965613

Clayton Shonkwiler

Publication date: 6 March 2021

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

Full work available at URL: https://arxiv.org/abs/2009.13648

zbMATH Keywords

linear programmingknotscovering spacesstick numbersuperbridge indexrandom polygons

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 ⋮ All prime knots through 10 crossings have superbridge index ≤ 5

Uses Software

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

Cites Work

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• A new knot invariant
• Stick knots
• Closed curves with no quadrisecants
• Eine elementargeometrische Eigenschaft von Verschlingungen und Knoten
• Wirtinger systems of generators of knot groups
• Coxeter groups and meridional rank of links
• AN UPPER BOUND ON STICK NUMBER OF KNOTS
• The spiral index of knots
• QUADRISECANTS OF KNOTS AND LINKS
• AN ELEMENTARY INVARIANT OF KNOTS
• Polygon Indices and Superbridge Indices of Torus Knots and Links
• Linear Programming
• Four-genus and four-dimensional clasp number of a knot
• GEOMETRIC KNOT SPACES AND POLYGONAL ISOTOPY
• A COMPUTATION OF SUPERBRIDGE INDEX OF KNOTS
• Symmetric quotients of knot groups and a filtration of the Gordian graph
• Knots with exactly 10 sticks
• Quadrisecants and essential secants of knots
• Ramsey Theorems for Knots, Links and Spatial Graphs

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