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  On the Complexity of the Permanent in Various Computational Models

Ikenmeyer, C., & Landsberg, J. M. (2016). On the Complexity of the Permanent in Various Computational Models. Retrieved from http://arxiv.org/abs/1610.00159.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-002C-4F1E-C Version Permalink: https://hdl.handle.net/11858/00-001M-0000-002C-4F1F-A
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arXiv:1610.00159.pdf (Preprint), 217KB
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 Creators:
Ikenmeyer, Christian1, Author           
Landsberg, J. M.2, Author
Affiliations:
1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              
2External Organizations, ou_persistent22              

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Free keywords: Computer Science, Computational Complexity, cs.CC,
 Abstract: We answer a question in [Landsberg, Ressayre, 2015], showing the regular determinantal complexity of the determinant det_m is O(m^3). We answer questions in, and generalize results of [Aravind, Joglekar, 2015], showing there is no rank one determinantal expression for perm_m or det_m when m >= 3. Finally we state and prove several "folklore" results relating different models of computation.

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Language(s): eng - English
 Dates: 2016-10-012016
 Publication Status: Published online
 Pages: 18 pages
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 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1610.00159
URI: http://arxiv.org/abs/1610.00159
BibTex Citekey: IL:16
 Degree: -

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