The $n$-adjacency graph for knots
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913103410626560 |
|---|---|
| author | Campisi, Marion Doleshal, Brandy Staron, Eric |
| author_facet | Campisi, Marion Doleshal, Brandy Staron, Eric |
| contents | A knot $K$ is called $n$-adjacent to a knot $K'$ if there is a set of $n$ crossing circles $\mathcal C$ in $K$ so that a generalized crossing change at any nonempty subset of crossings in $\mathcal C$ yields $K'$. In this paper, the authors define a new graph $Γ_n$ to represent $n$-adjacency relationships between knots. We prove several results about this new object. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_08597 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The $n$-adjacency graph for knots Campisi, Marion Doleshal, Brandy Staron, Eric Geometric Topology 57K10, 57M15 A knot $K$ is called $n$-adjacent to a knot $K'$ if there is a set of $n$ crossing circles $\mathcal C$ in $K$ so that a generalized crossing change at any nonempty subset of crossings in $\mathcal C$ yields $K'$. In this paper, the authors define a new graph $Γ_n$ to represent $n$-adjacency relationships between knots. We prove several results about this new object. |
| title | The $n$-adjacency graph for knots |
| topic | Geometric Topology 57K10, 57M15 |
| url | https://arxiv.org/abs/2603.08597 |