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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.18768 |
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| _version_ | 1866912974214529024 |
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| author | Gabrovšek, Boštjan Simonič, Matic Niemyska, Wanda |
| author_facet | Gabrovšek, Boštjan Simonič, Matic Niemyska, Wanda |
| contents | We present a systematic classification of uncolored bonded knots with singularity number at most seven. Bonded knots provide a topological model for closed protein chains with intramolecular bridges, such as disulfide bonds. Following the tradition of knot tabulation, we describe a procedure based on the generation of planar graphs, their conversion into bonded knot diagrams, and the use of the Yamada polynomial together with brute-force Reidemeister moves to distinguish topological knotted types. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_18768 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Classification of (uncolored) bonded knots and links Gabrovšek, Boštjan Simonič, Matic Niemyska, Wanda Geometric Topology We present a systematic classification of uncolored bonded knots with singularity number at most seven. Bonded knots provide a topological model for closed protein chains with intramolecular bridges, such as disulfide bonds. Following the tradition of knot tabulation, we describe a procedure based on the generation of planar graphs, their conversion into bonded knot diagrams, and the use of the Yamada polynomial together with brute-force Reidemeister moves to distinguish topological knotted types. |
| title | Classification of (uncolored) bonded knots and links |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2603.18768 |