Related papers: Vanishing and injectivity theorems for LMMP
This paper has been withdrawn.
The paper was withdrawn because of its significant overlap with a paper appeared recently.
The paper was withdrawn by the author. Further research is needed.
This paper has been withdrawn Abstract: This paper has been withdrawn by the author due to the publication.
This paper was withdrawn by the author. It turns out that similar ideas have been presented before. The author apologizes.
This paper has been withdrawn by the author due to the paper does not belong to Condensed Matter field.
Paper withdrawn. Replaced by by gr-qc/0212077 .
This article has been withdrawn by arXiv administrators because it plagiarises arXiv:1006.4556 (published in Phys. Lett. B 693, 129 (2010)).
This paper has been withdrawn. It was an early draft submitted prematurely in error. A complete version is to be submitted shortly.
This paper has been withdrawn by the corresponding author because the newest version is now published in Journal of Discrete Algorithms.
This paper has been withdrawn since its content is included in the more general version arXiv:0804.1882
This article has been removed by arXiv administrators due to falsified authorship.
This paper was removed by arXiv admin due to 94% plagiarism from uncited reference hep-th/0507153.
This paper has been withdrawn by the author.
The paper is being withdrawn. A new submission will follow.
This paper has been withdrawn by the author for further investigation.
The paper has been withdrawn by the author because the result obtained has been reported earlier by other authors.
This paper has been withdrawn by the author due to text overlap with arXiv:1102.5004, as well as omission of proper citations to arXiv:1110.4655 and arXiv:1111.0313
This paper has been withdrawn
This paper has been withdrawn. The contents of this paper can now be found in 0907.3000, which combines the erstwhile 0901.2981 and 0901.2982 in a somewhat compact form.