Deformations of dotted graphs consisting of standard circles
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911909960220672 |
|---|---|
| author | Nakamura, Inasa |
| author_facet | Nakamura, Inasa |
| contents | Dotted graphs are certain finite graphs with vertices of degree 2 called dots in the $xy$-plane $\mathbb{R}^2$, and a dotted graph is said to be admissible if it is associated with a lattice polytope in $\mathbb{R}^2$ each of whose edge is parallel to the $x$-axis or the $y$-axis. A dotted graph is said to be reducible if certain types of deformations are applicable. In this paper, we investigate the reducibility of admissible dotted graphs in certain simple forms consisting of standard circles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_04634 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Deformations of dotted graphs consisting of standard circles Nakamura, Inasa Geometric Topology Dotted graphs are certain finite graphs with vertices of degree 2 called dots in the $xy$-plane $\mathbb{R}^2$, and a dotted graph is said to be admissible if it is associated with a lattice polytope in $\mathbb{R}^2$ each of whose edge is parallel to the $x$-axis or the $y$-axis. A dotted graph is said to be reducible if certain types of deformations are applicable. In this paper, we investigate the reducibility of admissible dotted graphs in certain simple forms consisting of standard circles. |
| title | Deformations of dotted graphs consisting of standard circles |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2406.04634 |