Triple-crossing projections, moves on knots and links and their minimal diagrams (original) (raw)
Related papers
Knot projections with a single multi-crossing, preprint at ArXiv:1208.5742
2012
Triple Crossing Number of Knots and Links
Journal of Knot Theory and Its Ramifications, 2013
Knots in Knots: a Study of Classical Knot Diagrams
Journal of Knot Theory and Its Ramifications, 2016
Quadruple crossing number of knots and links
Mathematical Proceedings of the Cambridge Philosophical Society, 2013
The concordance classification of low crossing number knots
Proceedings of the American Mathematical Society, 2015
Minimal generating sets of moves for diagrams of isotopic knots and spatial trivalent graphs
Journal of Knot Theory and Its Ramifications
Complementary Regions of Knot and Link Diagrams
Annals of Combinatorics, 2011
A Partial Ordering of Knots and Links Through Diagrammatic Unknotting
Journal of Knot Theory and Its Ramifications, 2009
Multi-Crossing Numbers for Knots
2019
On the classification of knots
Proceedings of the American Mathematical Society, 1974
The incompatibility of crossing number and bridge number for knot diagrams
Discrete Mathematics
Knot Classification and Enumeration
1997
Journal of Knot Theory and Its Ramifications
Knot the Usual Suspects: Finding the Diagrammatic Representations of Physical Knots
UF Journal of Undergraduate Research
A Partial Ordering of Knots Through Diagrammatic Unknotting
2006
Topology, 1985
3-coloring and other elementary invariants of knots
1998
Mathematische Annalen, 2008
Ordering the Reidemeister moves of a classical knot
3 Local Moves on Knots and Products of Knots
2016
Virtual Multicrossings and Petal Diagrams for Virtual Knots and Links
2021
The Splittability and Triviality of 3-Bridge Links
Transactions of the American Mathematical Society, 1985
A Self-Linking Invariant of Virtual Knots
2004
Cubulated Moves and Discrete Knots
Journal of Knot Theory and Its Ramifications, 2013
Knots of Ten or Fewer Crossings of Algebraic Order Two
2012
On the Problems of Determining Knots by Their Complements and Knot Complements by Their Groups
Proceedings of the American Mathematical Society, 1976
Minimum Braids: A Complete Invariant of Knots and Links
arXiv (Cornell University), 2004
2006
Preprint, 2022
Journal of Differential Geometry
Three-page embeddings of singular knots
Eprint Arxiv Math 0309325, 2003
Low Dimensional Knot Ahmad Lutfi Dec 2024-11
Introduction to Low Dimensional Topology and Knots, 2024
A one-parameter approach to knot theory
arXiv (Cornell University), 2006
An Extended Bracket Polynomial for Virtual Knots and Links
Jktr, 2009