New superbridge index calculations from non-minimal realizations

DOI10.1142/S0218216522500638zbMath1504.57012arXiv2206.06950OpenAlexW4290603289WikidataQ114072867 ScholiaQ114072867MaRDI QIDQ5044437

Clayton Shonkwiler

Publication date: 31 October 2022

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

Full work available at URL: https://arxiv.org/abs/2206.06950

zbMATH Keywords

linear programmingknotsstick numbersuperbridge indexrandom polygons

Mathematics Subject Classification ID

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

Uses Software

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new knot invariant
• Wirtinger systems of generators of knot groups
• AN ELEMENTARY INVARIANT OF KNOTS
• Polygon Indices and Superbridge Indices of Torus Knots and Links
• Linear Programming
• GEOMETRIC KNOT SPACES AND POLYGONAL ISOTOPY
• AN INTRODUCTION TO THE SUPERCROSSING INDEX OF KNOTS AND THE CROSSING MAP
• 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
• All prime knots through 10 crossings have superbridge index ≤ 5
• Knots with exactly 10 sticks
• Ramsey Theorems for Knots, Links and Spatial Graphs

This page was built for publication: New superbridge index calculations from non-minimal realizations