Alternating paths in oriented graphs with large semidegree
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866908520432009216 |
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| author | Skokan, Jozef Tyomkyn, Mykhaylo |
| author_facet | Skokan, Jozef Tyomkyn, Mykhaylo |
| contents | In new progress on conjectures of Stein, and Addario-Berry, Havet, Linhares Sales, Reed and Thomassé, we prove that every oriented graph with all in- and out-degrees greater than 5k/8 contains an alternating path of length k. This improves on previous results of Klimošová and Stein, and Chen, Hou and Zhou. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_03166 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Alternating paths in oriented graphs with large semidegree Skokan, Jozef Tyomkyn, Mykhaylo Combinatorics 05C20 (Primary) 05C07, 05C35 (Secondary) In new progress on conjectures of Stein, and Addario-Berry, Havet, Linhares Sales, Reed and Thomassé, we prove that every oriented graph with all in- and out-degrees greater than 5k/8 contains an alternating path of length k. This improves on previous results of Klimošová and Stein, and Chen, Hou and Zhou. |
| title | Alternating paths in oriented graphs with large semidegree |
| topic | Combinatorics 05C20 (Primary) 05C07, 05C35 (Secondary) |
| url | https://arxiv.org/abs/2406.03166 |