Ribbonlength and crossing number for folded ribbon knots

DOI10.1142/S0218216521500280zbMath1470.57007arXiv2010.03611MaRDI QIDQ5003398

Elizabeth Denne

Publication date: 22 July 2021

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

Full work available at URL: https://arxiv.org/abs/2010.03611

zbMATH Keywords

knotslinkscrossing numberfolded ribbon knotsarc indexribbonlength

Mathematics Subject Classification ID

Knot theory (57K10)

Related Items (3)

Linking number and folded ribbon unknots ⋮ Folded ribbonlength of 2-bridge knots ⋮ Ribbonlength of families of folded ribbon knots

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Total curvature and packing of knots
• Thickness and crossing number of knots
• Thickness of knots
• On the minimum ropelength of knots and links
• Upper bounds for ropelength as a function of crossing number.
• Hamiltonian knot projections and lengths of thick knots.
• Embedding knots and links in an open book. I: Basic properties
• Minimum lattice length and ropelength of knots
• RIBBONLENGTH OF TORUS KNOTS
• Global curvature, thickness, and the ideal shapes of knots
• ARC INDEX OF NON-ALTERNATING LINKS
• Ribbonlength of folded ribbon unknots in the plane
• An upper bound of arc index of links
• Upper bounds on the minimum length of cubic lattice knots
• The ropelengths of knots are almost linear in terms of their crossing numbers
• Numerical upper bounds on ropelengths of large physical knots

This page was built for publication: Ribbonlength and crossing number for folded ribbon knots