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The paper has been withdrawn by change of content and some errors in the examples.

Withdrawn due to extensions and submission as another paper.

The paper is withdrawn. The proof has an error and it requires a different approach.

This paper has been withdrawn at the author's request.

I withdraw my paper from arXiv because there is a technical error in the proof of Theorem 1.1. And because of this error, all the results in the paper are untrue. I am very sorry for this.

This paper has been withdrawn. See v1 still available to understand the problem: Proposition 2.2 is false. The error in the proof is in claim (3). Then, the whole paper collapses. We do not have any correction for now. We apologize to…

This paper has been withdrawn by the authors due to inadequate arguments.

This paper has been withdrawn by the author, due to a crucial error in the proof of Thm.1

This paper has been withdrawn by the first author due to incomplete bibliography and incorporation of multiple formats in the same file.

Existing approaches to automatic summarization assume that a length limit for the summary is given, and view content selection as an optimization problem to maximize informativeness and minimize redundancy within this budget. This framework…

This paper has been withdrawn by the author due to the presented idea is wrong.

The paper in its present form has been withdrawn.

This paper has been withdrawn.

This paper has been withdrawn by the authors owing to a mistake in the proof of the basic lemma.

This paper has been withdrawn by the author due to a crucial error in mathematical derivation and copyrights.

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

Paper withdrawn - lemma 4.1 was false. Quite a lot of changes need to be made!

The original version of this paper contains an error; when this is corrected the basic conclusion changes. A revised manuscript will be submitted shortly.

This paper has been withdrawn because Proposition 2.2 (c) is false. This invalids the main results of section 2 and 3. We thank A. Canonaco for pointing us the error.

The paper has been withdrawn