The complexity of lattice knots

DOI10.1016/S0166-8641(97)00178-8zbMath0924.57007OpenAlexW1985176582MaRDI QIDQ1295201

Yuanan Diao, Claus Ernst

Publication date: 24 June 1999

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(97)00178-8

zbMATH Keywords

cubic latticeknot complexityknotted polygons

Mathematics Subject Classification ID

Related Items (19)

UPPER BOUNDS ON LINKING NUMBERS OF THICK LINKS ⋮ Ropelengths of closed braids ⋮ Minimum lattice length and ropelength of knots ⋮ Minimum lattice length and ropelength of 2-bridge knots and links ⋮ Braid index bounds ropelength from below ⋮ Hamiltonian knot projections and lengths of thick knots. ⋮ Relative Frequencies of Alternating and Nonalternating Prime Knots and Composite Knots in Random Knot Spaces ⋮ THE ADDITIVITY OF CROSSING NUMBERS ⋮ Polymers with spatial or topological constraints: theoretical and computational results ⋮ Total curvature, ropelength and crossing number of thick knots ⋮ THE LINKING PROBABILITY FOR 2-COMPONENT LINKS WHICH SPAN A LATTICE TUBE ⋮ THE LOWER BOUNDS OF THE LENGTHS 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 ⋮ The Linear Growth in the Lengths of a Family of Thick Knots ⋮ Squeezing knots ⋮ Operator formalism for topology-conserving crossing dynamics in planar knot diagrams ⋮ The ropelength of complex knots

Cites Work

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• Knots in random walks
• Knots in self-avoiding walks
• On the Braid Index of Alternating Links
• MINIMAL KNOTTED POLYGONS ON THE CUBIC LATTICE
• MINIMAL KNOTS IN THE CUBIC LATTICE

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