Related papers: Notes on the log minimal model program

This preprint has been withdrawn. It is because I will never publish this preprint since everything has been contained in my new preprint: arXiv:0907.1506. Please refer to arXiv:0907.1506. Please do not cite this preprint any more.

This paper has been withdrawn, because it is subsumed by the new preprint arXiv:0806.4540 .

This preprint has been withdrawn.

The paper has been withdrawn.

This paper has been withdrawn

This article has been replaced by arXiv:0807.3093

This paper has been withdrawn by the author due to an extended and largely modified version of the paper was published in arXiv (see arXiv:0807.3694, Disjoint minimal graphs).

This paper has been withdrawn.

This paper has been withdrawn.

This paper has been withdrawn: it has been merged with the preprint to which it refers.

This paper has been withdrawn by the author.

This paper has been withdrawn, because I have merged it with paper I of the series, math.AG/0312190. The main results of this paper now appear in sections 7-9 of the revised version of math.AG/0312190, with shortened and improved proofs.

This paper has been withdrawn by the author. This draft is withdrawn for its poor quality in english, unfortunately produced by the author when he was just starting his science route. Look at the ICML version instead:…

This paper has been withdrawn

This paper has been withdrawn by the corresponding author because the newest version is now published in Journal of Discrete Algorithms.

This paper has been withdrawn by the author.

This paper has been withdrawn by the author.

This paper has been withdrawn. A significantly revised version will be posted in the near future.

This paper has been withdrawn.

This paper has been withdrawn by the author.