Hamilton Powers of Eulerian Digraphs
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866910466145517568 |
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| author | Colón, Enrico Celestino Urschel, John |
| author_facet | Colón, Enrico Celestino Urschel, John |
| contents | In this note, we prove that the $\lceil \tfrac{1}{2} \sqrt{n} \log_2^2 n \rceil^{th}$ power of a connected $n$-vertex Eulerian digraph is Hamiltonian, and provide an infinite family of digraphs for which the $\lfloor \sqrt{n}/2 \rfloor^{th}$ power is not. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_10259 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Hamilton Powers of Eulerian Digraphs Colón, Enrico Celestino Urschel, John Combinatorics 05C20 (Primary) 05C45 (Secondary) In this note, we prove that the $\lceil \tfrac{1}{2} \sqrt{n} \log_2^2 n \rceil^{th}$ power of a connected $n$-vertex Eulerian digraph is Hamiltonian, and provide an infinite family of digraphs for which the $\lfloor \sqrt{n}/2 \rfloor^{th}$ power is not. |
| title | Hamilton Powers of Eulerian Digraphs |
| topic | Combinatorics 05C20 (Primary) 05C45 (Secondary) |
| url | https://arxiv.org/abs/2210.10259 |