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arxiv: 1902.07277 · v2 · pith:O7K4D4NAnew · submitted 2019-02-19 · 🧮 math.GT

A systematic classification of knotoids on the plane and on the sphere

Dimos Goundaroulis , Julien Dorier , Andrzej Stasiak This is my paper
classification 🧮 math.GT
keywords knotoidscrossingsclassificationclassifyexistingextendgeneratelist
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In this paper we generate and systematically classify all prime planar knotoids with up to 5 crossings. We also extend the existing list of knotoids in $S^2$ and add all knotoids with 6 crossings.

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  1. Symmetric ribbon numbers of low-complexity knots

    math.GT 2026-06 unverdicted novelty 6.0

    Computes symmetric ribbon numbers r_s(K) for knots of crossing number ≤12 and supplies polynomial lower bounds.