Orientable triangular embeddings of the complete graphs on 36s vertices from noncyclic current graphs
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908522336223232 |
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| author | Huynh, Avinh Sun, Timothy |
| author_facet | Huynh, Avinh Sun, Timothy |
| contents | Mark Jungerman's 1975 Ph.D. thesis presents several infinite families of index 2 current graphs that generate triangular embeddings of complete or near-complete graphs. However, there is one family mentioned, the complete graphs on $36s$ vertices, where Jungerman solves only the first case $s = 1$. We generalize this example to all $s \geq 1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_05616 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Orientable triangular embeddings of the complete graphs on 36s vertices from noncyclic current graphs Huynh, Avinh Sun, Timothy Combinatorics Mark Jungerman's 1975 Ph.D. thesis presents several infinite families of index 2 current graphs that generate triangular embeddings of complete or near-complete graphs. However, there is one family mentioned, the complete graphs on $36s$ vertices, where Jungerman solves only the first case $s = 1$. We generalize this example to all $s \geq 1$. |
| title | Orientable triangular embeddings of the complete graphs on 36s vertices from noncyclic current graphs |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2509.05616 |