Knots with properties of a trefoil knot concerning unknotting operations

A trefoil knot is most basic knot in Knot theory. Concerning local moves for knots, a trefoil knot is converted into the trivial knot by single crossing change, [Formula: see text]-move, [Formula: see text]-move and [Formula: see text]-move, respectively. We give a family of infinitely many knots which is converted into the trivial knot by single crossing change, [Formula: see text]-move, [Formula: see text]-move and [Formula: see text]-move, respectively.

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Publication Details

Journal
Journal of Knot Theory and Its Ramifications
Published
2025-03-27
DOI
https://doi.org/10.1142/s0218216525500233
Primary Topic
Surgical Sutures and Adhesives
Type
article
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article

Knots with properties of a trefoil knot concerning unknotting operations

Ryuji Higa
Journal of Knot Theory and Its Ramifications
Surgical Sutures and Adhesives
article

Knots with properties of a trefoil knot concerning unknotting operations

Ryuji Higa
article en

Abstract

A trefoil knot is most basic knot in Knot theory. Concerning local moves for knots, a trefoil knot is converted into the trivial knot by single crossing change, [Formula: see text]-move, [Formula: see text]-move and [Formula: see text]-move, respectively. We give a family of infinitely many knots which is converted into the trivial knot by single crossing change, [Formula: see text]-move, [Formula: see text]-move and [Formula: see text]-move, respectively.

Journal of Knot Theory and Its RamificationsVol. 34(06)
Kobe University (JP)
Openalex Percentile: Top 90%
Surgical Sutures and Adhesives
DOISourceOpenAlex
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Knots with properties of a trefoil knot concerning unknotting operations — Ryuji Higa · Journal of Knot Theory and Its Ramifications (2025) | TGRS Research Map | TGRS