Related papers: A mathematical proof of four color theorem

This paper has been withdrawn by the author due to some problems.

This paper has been withdrawn by the authors, due a gap in the proof of the main Theorem.

This paper has been withdrawn by the author due to a crucial error in the proofs. The error has been corrected and the paper has been expanded in arXiv:0910.5327

This paper has been withdrawn by the author due to its main result being included in cond-mat/0403309 by the same author.

This paper has been withdrawn by the author, due to an error in the inequality after the inequality (31).

This paper has been withdrawn by the author due a few mistakes in the paper.

This paper has been withdrawn by the authors due to new experimental results.

This paper has been withdrawn by the authors due to a likely hole in the proof.

This paper has been withdrawn by the author due a crucial error.

This paper has been withdrawn

This paper has been withdrawn due a crucial mistake due to a crucial mistake in the proof of Lemma 2.3.

This paper was withdrawn by the author due to a fatal error.

This paper has been withdrawn by the author, since the author does not have enough time to answer every questions on this result.

This paper has been withdrawn by the author. Much simpler proof of the main result was obtained which led to major changes in the presentation.

This paper has been withdrawn due to an error, and no further revisions will be made.

In RSST, they "replace the mammoth hand-checking of unavoidability that A&H required, by another mammoth hand-checkable proof " (page 18). Here, the proof of unavoidability is accomplished in a lengthy structured hand-checkable proof whose…

This paper has been withdrawn by the authors due to the crucial wrong assumption following Eq. 9.

This paper has been withdrawn by the author due to a serious gap in the proof of the main theorem.

This paper has been withdrawn by the author(s) and included into the new version of "An extension theorem for separately holomorphic functions with singularities", math.CV/0104089.

This paper has been withdrawn by the author due to a mistake in the section 4.