A Mathematical Proof of the Four-Color Conjecture (1): Transformation Step
| Autor: | Xu, Jin |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | The four-color conjecture has puzzled mathematicians for over 170 years and has yet to be proven by purely mathematical methods. This series of articles provides a purely mathematical proof of the four-color conjecture, consisting of two parts: the transformation step and the decycle step. The transformation step uses two innovative tools, contracting and extending operations and unchanged bichromatic cycles, to transform the proof of the four-color conjecture into the decycle problem of 4-base modules. Moreover, the decycle step solves the decycle problem of 4-base modules using two other innovative tools: the color-connected potential and the pocket operations. This article presents the proof of the transformation step. Comment: arXiv admin note: substantial text overlap with arXiv:2107.05454 |
| Databáze: | arXiv |
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