The incompatibility of crossing number and bridge number for knot diagrams

DOI10.1016/j.disc.2019.03.013zbMath1425.57009arXiv1710.11327OpenAlexW2766834800MaRDI QIDQ2421862

Alexandra Kjuchukova, Makoto Ozawa, Ryan C. Blair

Publication date: 18 June 2019

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.11327

zbMATH Keywords

crossing numberalternating knotbridge numberknot diagramMontesinos knotprime knotknot sumWirtinger numberflype moveoverpass bridge numberperpendicular bridge numberunknot diagram

Mathematics Subject Classification ID

Related Items (2)

Coxeter groups and meridional rank of links ⋮ An algorithmic definition of Gabai width

Uses Software

• Calc_Wirt

Cites Work

• Bridge number and Conway products
• Nombre de ponts et générateurs méridiens des entrelacs de Montesinos
• A spanning tree expansion of the Jones polynomial
• State models and the Jones polynomial
• Jones polynomials and classical conjectures in knot theory
• On the Kauffman polynomial of an adequate link
• Über eine numerische Knoteninvariante

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