On the girth and connectivity of cubic graphs with a unique longest cycle
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913965397770240 |
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| author | Jooken, Jorik Zamfirescu, Carol T. |
| author_facet | Jooken, Jorik Zamfirescu, Carol T. |
| contents | We show that there exists an infinite family of cubic $2$-connected non-hamiltonian graphs with girth $5$ containing a unique longest cycle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_17205 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the girth and connectivity of cubic graphs with a unique longest cycle Jooken, Jorik Zamfirescu, Carol T. Combinatorics 05C45, 05C38 We show that there exists an infinite family of cubic $2$-connected non-hamiltonian graphs with girth $5$ containing a unique longest cycle. |
| title | On the girth and connectivity of cubic graphs with a unique longest cycle |
| topic | Combinatorics 05C45, 05C38 |
| url | https://arxiv.org/abs/2409.17205 |