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This paper has been withdrawn by the authors, since it has been merged with Part I (ID 0802.3570)

This paper has been withdrawn by the authors due to the fact that the conjecture has indeed already long been established.

This paper have been withdraw by the autors, because of a too early submission.

This paper has been withdrawn by the author due to an error.

This paper has been withdrawn by the author due to incomplete interpretation for the results.

The paper is withdrawn by the authors and replaced be an improved and extended version arxiv: 0812.2968

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The paper has been withdrawn.

This paper has been withdrawn by the author due to an error in the derivation.

This paper is withdrawn because the results in the paper are included in a paper to be published in Mathematical and Computer Modelling.

This paper has been withdrawn by the author, due to errors in the figures.

This paper is devoted to present two counterexamples to the theorem from \cite{MK} Maria R., Katherine T. M., Bernardo S. M., Extremal graphs with bounded vertex bipartiteness number, Linear Algebra Appl. 493 (2016) 28-36. Moreover, the…

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This paper has been withdrawn by the authors because it had major revisions.

This paper has been withdrawn by the author due to a gap in the proof of the main result.

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