The Linear Growth in the Lengths of a Family of Thick Knots

DOI10.1142/S0218216503002615zbMath1046.57006OpenAlexW2012360432MaRDI QIDQ4474513

Yuanan Diao, Claus Ernst, Morwen B. Thistlethwaite

Publication date: 12 July 2004

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

Full work available at URL: https://doi.org/10.1142/s0218216503002615

zbMATH Keywords

knotlinkcrossing numberbridge numberlattice knotsrope lengththick knotthick link

Mathematics Subject Classification ID

Related Items (11)

Ropelengths of closed braids ⋮ Minimum lattice length and ropelength of 2-bridge knots and links ⋮ AVERAGE CROSSING NUMBER, TOTAL CURVATURE AND ROPELENGTH OF THICK KNOTS ⋮ Braid index bounds ropelength from below ⋮ Hamiltonian knot projections and lengths of thick knots. ⋮ THE ADDITIVITY OF CROSSING NUMBERS ⋮ Total curvature, ropelength and crossing number of thick knots ⋮ HAMILTONIAN CYCLES AND ROPE LENGTHS OF CONWAY ALGEBRAIC KNOTS ⋮ The ropelengths of knots are almost linear in terms of their crossing numbers ⋮ MINIMAL KNOTTING NUMBERS ⋮ Adsorption of lattice polymers with quenched topologies

Cites Work

• Unnamed Item
• Nombre de ponts et générateurs méridiens des entrelacs de Montesinos
• On the Kauffman polynomial of an adequate link
• Kauffman's polynomial and alternating links
• Some links with non-trivial polynomials and their crossing-numbers
• Thickness and crossing number of knots
• Thickness of knots
• The complexity of lattice knots
• On the total curvature of knots
• Über eine numerische Knoteninvariante
• The growth of the number of prime knots
• Thicknesses of knots
• MINIMAL KNOTTED POLYGONS ON THE CUBIC LATTICE

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