Minimum lattice length and ropelength of knots

DOI10.1142/S0218216514600098zbMath1303.57009arXiv1411.1845MaRDI QIDQ2930988

Sungjong No, Kyungpyo Hong, Seungsang Oh, Hyoungjun Kim

Publication date: 21 November 2014

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

Full work available at URL: https://arxiv.org/abs/1411.1845

zbMATH Keywords

upper boundknotropelengthlattice knot

Mathematics Subject Classification ID

Related Items

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Cites Work

• Random state transitions of knots: a first step towards modeling unknotting by type II topoisomerases
• Thickness and crossing number of knots
• The complexity of lattice 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
• Upper bound on lattice stick number of knots
• PRIME KNOTS WITH ARC INDEX UP TO 11 AND AN UPPER BOUND OF ARC INDEX FOR NON-ALTERNATING KNOTS
• Bounds for the minimum step number of knots in the simple cubic lattice
• Knots with small lattice stick numbers
• MINIMAL KNOTTED POLYGONS ON THE CUBIC LATTICE
• THE LOWER BOUNDS OF THE LENGTHS OF THICK KNOTS
• An upper bound of arc index of links
• MINIMAL KNOTS IN THE CUBIC LATTICE
• Upper bounds on the minimum length of cubic lattice knots
• LATTICE STICK NUMBERS OF SMALL KNOTS

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