When is region crossing change an unknotting operation?

DOI10.1017/S0305004113000236zbMath1284.57004arXiv1201.1735OpenAlexW3105711208MaRDI QIDQ2845622

Zhiyun Cheng

Publication date: 2 September 2013

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.1735

zbMATH Keywords

incidence matrixArf invariantunknotting operationlink diagramTait graphregion crossing changeproper linkreduced diagrampuzzle game

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Relations of low-dimensional topology with graph theory (57M15)

Related Items (13)

Region unknotting number of 2-bridge knots ⋮ On Arf Invariant and Trivializing Number ⋮ A categorification for the signed chromatic polynomial ⋮ Region crossing change on spatial-graph diagrams ⋮ Integral region choice problems on link diagrams ⋮ The multi-region index of a knot ⋮ Ineffective sets and the region crossing change operation ⋮ Unknottability of spatial graphs by region crossing changes ⋮ Region crossing change on spatial theta-curves ⋮ Equivalence of edge bicolored graphs on surfaces ⋮ Unknotting operations on knots and links ⋮ Region crossing change, bicolored diagram and Arf invariant ⋮ Region crossing change on surfaces

Cites Work

• Some metrics on classical knots
• On a certain move generating link-homology
• Replacements in the Conway third identity
• Unknotting operations of polygonal type
• On region crossing change and incidence matrix
• Theory and Application of Graphs
• An invariant of knot cobordism

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