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This paper has been withdrawn by the author.

Combinatorics · Mathematics 2010-11-22 Simon Griffiths

Although the results are correct, it was pointed out that the results follow from some previously known results. Accordingly, this version of the paper is withdrawn by the authors.

Computational Complexity · Computer Science 2012-12-03 Bhaskar DasGupta , Lakshmi Kaligounder

The paper has been withdrawn by change of content and some errors in the examples.

Algebraic Geometry · Mathematics 2007-05-23 Abel Castorena

This paper has been withdrawn by the author. It will be replaced, substantially modified, by sections of the author's completed PhD thesis.

Mathematical Physics · Physics 2007-05-23 Steven Lord

This paper has been withdrawn by the author, due to possible counter-examples.

Discrete Mathematics · Computer Science 2008-01-19 Omar Kettani

This paper has been withdrawn, as it has been merged into arXiv:1009.6144

Combinatorics · Mathematics 2012-05-22 Bela Bollobas , Alexander Scott

This paper has been withdrawn by the author, due to a significant error in section 4.3.1.

Geometric Topology · Mathematics 2009-01-26 Chan-Ho Suh

This paper has been withdrawn by the authors; replaced by arXiv:0705.2531v2 [quant-ph].

Quantum Physics · Physics 2009-05-07 J. B. Wang , B. L. Douglas

This paper has been withdrawn by the author.

History and Overview · Mathematics 2012-01-19 Oscar Bolina

This paper has been withdrawn because the models on which it was based have undergone significant changes and improvements. A new paper with the same title, based on the improved models, is accepted for publication in MNRAS and is available…

Astrophysics · Physics 2009-10-30 Rachel S. Somerville , Joel R. Primack , S. M. Faber

This paper has been withdrawn by the author. The content of the previous versions is now covered by the more recent papers - math.DG/0610252 (concerning the Lie group structuren on the gauge groups) - math.DG/0612522 (concerning the weak…

Mathematical Physics · Physics 2009-09-29 Christoph Wockel

This submission has been withdrawn by arXiv administration.

General Mathematics · Mathematics 2025-07-10 A. E. Brouwer , W. H. Haemers

This paper has been withdrawn by the author due to essential mistakes in some previous versions.

Probability · Mathematics 2008-09-15 Qingyang Guan

This paper has been withdrawn by the authors due to several major changes in concepts and results. New version will follow briefly as a new e-print.

Condensed Matter · Physics 2012-03-09 P. Castelo Ferreira , F. P. Mancini , M. Tragtenberg

This paper has been withdrawn.

Quantum Physics · Physics 2009-09-29 Nil

This paper has been withdrawn.

Mathematical Physics · Physics 2007-05-23 Hajime Moriya

This paper has been withdrawn.

High Energy Physics - Theory · Physics 2007-05-23 Avijit Mukherjee , Mohammad M. Sheikh-Jabbari

This paper has been withdrawn by the author because there are some typos in proofs.

Commutative Algebra · Mathematics 2013-07-30 M. J. Nikmehr , F. Heydari

This paper has been withdrawn by the authors.

Condensed Matter · Physics 2007-05-23 Brahim Elattari , Rochus Klesse

This submission has been withdrawn at the request of the author.

Discrete Mathematics · Computer Science 2009-08-25 Raju Renjit. G
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