4-regular 4-connected Hamiltonian graphs with few Hamiltonian cycles
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866911000869994496 |
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| author | Thomassen, Carsten Zamfirescu, Carol T. |
| author_facet | Thomassen, Carsten Zamfirescu, Carol T. |
| contents | We prove that there exists an infinite family of 4-regular 4-connected Hamiltonian graphs with a bounded number of Hamiltonian cycles. We do not know if there exists such a family of 5-regular 5-connected Hamiltonian graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_06347 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | 4-regular 4-connected Hamiltonian graphs with few Hamiltonian cycles Thomassen, Carsten Zamfirescu, Carol T. Combinatorics 05C45 (Primary) 05C07, 05C30 (Secondary) We prove that there exists an infinite family of 4-regular 4-connected Hamiltonian graphs with a bounded number of Hamiltonian cycles. We do not know if there exists such a family of 5-regular 5-connected Hamiltonian graphs. |
| title | 4-regular 4-connected Hamiltonian graphs with few Hamiltonian cycles |
| topic | Combinatorics 05C45 (Primary) 05C07, 05C30 (Secondary) |
| url | https://arxiv.org/abs/2104.06347 |