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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2022
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2207.09739 |
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| _version_ | 1866909620396621824 |
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| author | Anholcer, Marcin Bosek, Bartłomiej Grytczuk, Jarosław Gutowski, Grzegorz Przybyło, Jakub Zając, Mariusz |
| author_facet | Anholcer, Marcin Bosek, Bartłomiej Grytczuk, Jarosław Gutowski, Grzegorz Przybyło, Jakub Zając, Mariusz |
| contents | A majority coloring of a directed graph is a vertex coloring in which each vertex has the same color as at most half of its out-neighbors. In this note we simplify some proof techniques and generalize previously known results on various generalizations of majority coloring. In particular, our unified and simplified approach works for paintability - an on-line analog of the list coloring. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_09739 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Mrs. Correct and Majority Colorings Anholcer, Marcin Bosek, Bartłomiej Grytczuk, Jarosław Gutowski, Grzegorz Przybyło, Jakub Zając, Mariusz Combinatorics A majority coloring of a directed graph is a vertex coloring in which each vertex has the same color as at most half of its out-neighbors. In this note we simplify some proof techniques and generalize previously known results on various generalizations of majority coloring. In particular, our unified and simplified approach works for paintability - an on-line analog of the list coloring. |
| title | Mrs. Correct and Majority Colorings |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2207.09739 |