Related papers: A mathematical proof of four color theorem

This paper has been withdrawn by the author due to an error in the proof.

The better title is "Yet another FALSE proof of the 4-colour theorem." Please consider all versions of this paper as historical material on the way to a non-computer proof of the 4-colour theorem. Interpreted as proofs, all versions are…

In this paper, we provide an easy proof of the Four-colour Theorem in a special case indeed.

Withdrwan by author

We make an attempt at proving the Four Colour Theorem in six pages.

This paper has been withdrawn by the author, due to a crucial error in page 5.

This paper has been withdrawn by the author(s), due an error in the proof.

This paper has been withdrawn by the author(s), due an error in the proof.

We give a pen and paper and (comparatively) much simpler proof to verify of the Four Colour Theorem.

This paper has been withdrawn by the author due to a crucial error.

This paper has been withdrawn by the author, due to an error in the proof of Theorem 3.8.

This paper has been withdrawn by the author due to the unsure solution to the Dyson-Schwinger equation.

The paper has been withdrawn by the author due an error in the proof of Theorem 3.2.

This paper has been withdrawn by the author.

This paper has been withdrawn by the author(s), due an error in the proof.

This paper has been withdrawn by the author, due to a crucial error in the proof of Lemma 3.1.

This paper has been withdrawn due to a crucial error in the proof of the main theorem

The paper has been withdrawn by the author due to a crucial error.

This paper presents a short and simple proof of the Four-Color Theorem that can be utterly checkable by human mathematicians, without computer assistance. The new key idea that has allowed it and the global structure of the proof are…

This paper has been withdrawn by the author due to a sheaf-theoretic error, in the end of the proof of the main theorem.