Related papers: Restricted centrosymmetric permutations
This paper has been withdrawn by the authors. Because of a misunderstanding, the paper was submitted prematurely to the arXiv. A replacement will follow.
This paper is withdrawn because the results in the paper are included in a paper to be published in Mathematical and Computer Modelling.
This paper has been withdrawn by the authors, since it has been merged with Part I (ID 0802.3570)
This paper has been withdrawn by the author(s) in the light of several other works available and due to a misunderstanding in the authorships.
This paper was withdrawn as it may have appeared elsewhere, although in a different form.
This paper has been withdrawn by the author due to text overlap with arXiv:1102.5004, as well as omission of proper citations to arXiv:1110.4655 and arXiv:1111.0313
This paper has been withdrawn since it contains some discrepancy with othe authers's recent result. We will not post this until this discrepancy is resolved.
The paper has been withdrawn by change of content and some errors in the examples.
The author decided to withdraw this paper by 1) an error in Lemma 5.11 (and 5.12) which requires some justification; 2) the main result of this paper suffers overlap with arXiv:1203.5254; 3) the author decided to split arXiv:1203.5254 into…
Withdrawn due to extensions and submission as another paper.
This paper has been withdrawn by the author because there are some typos in proofs.
A modified version of this paper is under process and with a new title and abstract. Hence, this version of the article is completely withdrawn.
The paper has been withdrawn by the author due to a crucial error.
This paper has been withdrawn. A significantly revised version will be posted in the near future.
This paper has been withdrawn by the author, due to a crucial error in page 5.
This paper has been withdrawn by the author due to similarity to the author's other paper
This paper has been withdrawn due a crucial mistake due to a crucial mistake in the proof of Lemma 2.3.
This paper has been withdrawn due to fundamental errors.
This paper has been withdrawn by the author due to a crucial error in the submission action.
This paper has been withdrawn by the author due to a mistake in the section 4.