Nullification numbers of knots with up to 10 crossings

DOI10.1142/S0218216516500371zbMath1350.57006OpenAlexW2318827950WikidataQ114072906 ScholiaQ114072906MaRDI QIDQ3178568

Claus Ernst, A. Montemayor

Publication date: 14 July 2016

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

Full work available at URL: https://doi.org/10.1142/s0218216516500371

zbMATH Keywords

crossing number\(Q\)-polynomialJones polynomiallinking numberunknotting numberSeifert circleband surgeryribbon knottopoisomeraserecombinasenullification numberknot tablelink signaturenullification distance\(4\)-genuslink nullitynullification move

Mathematics Subject Classification ID

Related Items (3)

Incoherent nullification of torus knots and links ⋮ Recent advances on the non-coherent band surgery model for site-specific recombination ⋮ Coherent band-Gordian distances between knots and links with up to seven crossings

Uses Software

• KnotPlot
• Knot Atlas
• KnotInfo

Cites Work

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• Band sum operations yielding trivial knots
• Unknotting operations involving trivial tangles
• Nullification number and flyping conjecture
• Four-genus and unknotting number of positive knots and links
• BAND SURGERY ON KNOTS AND LINKS
• CLASSIFICATION OF TANGLE SOLUTIONS FOR INTEGRASES, A PROTEIN FAMILY THAT CHANGES DNA TOPOLOGY
• Coherent band pathways between knots and links
• NULLIFICATION OF KNOTS AND LINKS
• On a Certain Numerical Invariant of Link Types

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