A sequel to the adventure of RGB-tilings to explore the Four Color Theorem
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916103069892608 |
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| author | Liu, Shu-Chung |
| author_facet | Liu, Shu-Chung |
| contents | An approach of using RGB-tilings for proving the Four Color Theorem discussed in three previous work is expanded in this paper. A novel methodology and revisions for the methodology in the three aforementioned papers are discussed, and a previously derived result involving three degree-five vertices in a triangular graph is improved. Moreover, a treatment of a novel topic for a graph with six vertices of degree 5 in a dumbbell shape is presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_12222 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A sequel to the adventure of RGB-tilings to explore the Four Color Theorem Liu, Shu-Chung Combinatorics 05C10, 05C15 An approach of using RGB-tilings for proving the Four Color Theorem discussed in three previous work is expanded in this paper. A novel methodology and revisions for the methodology in the three aforementioned papers are discussed, and a previously derived result involving three degree-five vertices in a triangular graph is improved. Moreover, a treatment of a novel topic for a graph with six vertices of degree 5 in a dumbbell shape is presented. |
| title | A sequel to the adventure of RGB-tilings to explore the Four Color Theorem |
| topic | Combinatorics 05C10, 05C15 |
| url | https://arxiv.org/abs/2401.12222 |