Related papers: On Approximating Graph Bipartization via Node Dele…

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The paper has been withdrawn by authors. The issues studied in this paper were changed so much that we have published a new paper considering these issues. See hep-th/0406074

This paper has been withdrawn by the author, since one of the key results duplicates existing work, as pointed out by a reader. I am currently revising the manuscript.

This paper has been withdrawn, as it should not have been a new submission. Please instead see the latest version of arXiv:0904.0436.

This paper has been withdrawn: it has been merged with the preprint to which it refers.

This paper has been withdrawn by the author due to a critical error in the proof of Theorem A pointed out by Burkhard Wilking.

This paper has been withdrawn. It will be split into two separate papers. New results will be added in both papers.

This paper has been withdrawn by the authors. I will do the major revision.

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This paper has been withdrawn by the authors due to the existence of main results in the literature.

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The bipartition polynomial of a graph is a generalization of many other graph polynomials, including the domination, Ising, matching, independence, cut, and Euler polynomial. We show in this paper that it is also a powerful tool for proving…

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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 Hence, this version of the article is completely withdrawn.

This paper has been withdrawn by the author due to the presented idea is wrong.

The paper is withdrawn because the analysis appeared to be incomplete.

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