Related papers: Acyclic edge coloring

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This paper has been withdrawn by the author(s), due a crucial sign error in conclusion .

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This paper has been withdrawn by the author due a crucial error.

The paper has been withdrawn.

This paper has been withdrawn by the author, due a crucial error in the main idea.

This paper has been withdrawn by the author.

This paper has been withdrawn by the author.

The paper has been withdrawn by change of content and some errors in the examples.

This paper has been withdrawn by the author due to the unsure solutions to the Dyson-Schwinger equation.

This paper has been withdrawn by the author due to an error in an inequality in the proof of Theorem 1.1.

This paper has been withdrawn by the authors.

This paper has been withdrawn

This paper has been withdrawn due to an error. We plan to replace it with a corrected version.

This paper has been withdrawn by the author

This paper has been withdrawn due to a crucial error in the proof of the main theorem

This paper has been withdrawn due to an error in section 3.