Hamiltonian knot projections and lengths of thick knots.

DOI10.1016/S0166-8641(03)00182-2zbMath1040.57004OpenAlexW2066086246MaRDI QIDQ1421985

Claus Ernst, Yuanan Diao, Xingxing Yu

Publication date: 3 February 2004

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0166-8641(03)00182-2

zbMATH Keywords

knotlinkcrossing numberphysical knotsrope length of knotsthickness of knots

Mathematics Subject Classification ID

Related Items (11)

Ropelengths of closed braids ⋮ Minimum lattice length and ropelength of knots ⋮ Minimum lattice length and ropelength of 2-bridge knots and links ⋮ Ribbonlength of families of folded ribbon knots ⋮ Upper bounds for ropelength as a function of crossing number. ⋮ Total curvature, ropelength and crossing number of thick knots ⋮ HAMILTONIAN CYCLES AND ROPE LENGTHS OF CONWAY ALGEBRAIC KNOTS ⋮ Knots connected by wide ribbons ⋮ The ropelengths of knots are almost linear in terms of their crossing numbers ⋮ Ribbonlength and crossing number for folded ribbon knots ⋮ On the normal form of knots

Cites Work

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• A spanning tree expansion of the Jones polynomial
• State models and the Jones polynomial
• Jones polynomials and classical conjectures in knot theory
• Thickness and crossing number of knots
• Thickness of knots
• The complexity of lattice knots
• On the minimum ropelength of knots and links
• Möbius energy of thick knots
• An unsplittable triangulation
• A Theorem on Planar Graphs
• The Tait flyping conjecture
• Thicknesses of knots
• DNA KNOT FORMATION IN AQUEOUS SOLUTIONS
• The Linear Growth in the Lengths of a Family of Thick Knots
• UPPER BOUNDS ON LINKING NUMBERS OF THICK LINKS
• THE ADDITIVITY OF CROSSING NUMBERS
• Geometry and physics of knots
• Knots

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