A Census of Edge-transitive Surfaces
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866912699740323840 |
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| author | Akpanya, Reymond |
| author_facet | Akpanya, Reymond |
| contents | In this paper, we study edge-transitive surfaces, i.e. triangulated 2-dimensional manifolds whose automorphism groups act transitively on the edges of these triangulated surfaces. We show that there exist four types of edge-transitive surfaces, splitting up further into a total of five sub-types. We exploit our theoretical results to compute a census of edge-transitive surfaces with up to 5000 faces by constructing suitable cycle double covers of edge-transitive cubic graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_07631 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Census of Edge-transitive Surfaces Akpanya, Reymond Combinatorics Discrete Mathematics 05E18, 20B25, 05C75 In this paper, we study edge-transitive surfaces, i.e. triangulated 2-dimensional manifolds whose automorphism groups act transitively on the edges of these triangulated surfaces. We show that there exist four types of edge-transitive surfaces, splitting up further into a total of five sub-types. We exploit our theoretical results to compute a census of edge-transitive surfaces with up to 5000 faces by constructing suitable cycle double covers of edge-transitive cubic graphs. |
| title | A Census of Edge-transitive Surfaces |
| topic | Combinatorics Discrete Mathematics 05E18, 20B25, 05C75 |
| url | https://arxiv.org/abs/2511.07631 |