Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.00311 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912681071476736 |
|---|---|
| author | Chowdhury, Zawad Clement, Francois Horwitz, Max |
| author_facet | Chowdhury, Zawad Clement, Francois Horwitz, Max |
| contents | We investigate a family of $4$-regular graphs constructed to test for the presence of combinatorial structure in a sequence of distinct real numbers. We show that the graphs constructed from the Kronecker sequence can be embedded into the torus, while the graphs constructed from the binary van der Corput sequence can be embedded into the Chamanara surface, in both cases with the possible removal of one edge. These results allude to a general theory of sequence graphs which can be embedded into particular translation surfaces coming from interval exchange transformations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_00311 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Obtaining the Chamanara Surface from the van der Corput sequence Chowdhury, Zawad Clement, Francois Horwitz, Max Combinatorics Computational Geometry Dynamical Systems Geometric Topology We investigate a family of $4$-regular graphs constructed to test for the presence of combinatorial structure in a sequence of distinct real numbers. We show that the graphs constructed from the Kronecker sequence can be embedded into the torus, while the graphs constructed from the binary van der Corput sequence can be embedded into the Chamanara surface, in both cases with the possible removal of one edge. These results allude to a general theory of sequence graphs which can be embedded into particular translation surfaces coming from interval exchange transformations. |
| title | Obtaining the Chamanara Surface from the van der Corput sequence |
| topic | Combinatorics Computational Geometry Dynamical Systems Geometric Topology |
| url | https://arxiv.org/abs/2511.00311 |