Related papers: A mathematical proof of four color theorem

This article has been withdrawn due to an error in a proof of the main result.

This paper has been withdrawn by the author.

The paper is withdrawn by the author due to a recently discovered flaw in a basic proof.

This paper has been withdrawn.

This paper has been withdrawn.

This paper presents a path to proving the Four-Color Theorem that differs from the traditional "reducible configuration" method. By introducing concepts such as "outer boundary," "primitive set," "Property A," "knot," "valid pair group,"…

This paper has been withdrawn by the author due to a crucial error in eq.59. I apologize for the inconveniences.

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

This paper has been withdrawn by the author because the conclusions reached in it are incorrect.

This paper is withdrawn. We found a mistake in Lemma 4.1

The paper was withdrawn due to a gap in the proof of Lemma 3.

This paper has been withdrawn by the author(s), due a crucial sign error in Eqn. 1.

This paper has been withdrawn by the author due to a crucial error in the last lines in the proof of Lemma 3.3.

The paper has been withdrawn due to numerical error.

This paper was withdrawn by the author due to an edition's rights

We prove a better coloring theorem for aleph_4 and even aleph_3. This has a general topology consequence.

This paper has been withdrawn since it is identical to the paper math.QA/0601267. It was posted by mistake.

The paper has been withdrawn by the author, due to a fatal error. A horse stumbles that has four legs.

This paper has been withdrawn by the authors, due a crucial mistake in Lemma 2

This paper has been withdrawn by the author.