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Skew-symmetric EW Matrices and Tournaments Suda, Sho
Description
In 2015, Armario conjectured that there exists a skew-symmetric EW matrix of order $4t+2$ if and only if there exists a tournament matrix $A$ with characteristic polynomial \[ \chi_A(x) = \left ( x^3 - (2t-1)x^2 - t(4t-1) \right ) \left ( x^2+x+t \right )^{2t-1}. \] In this talk, we prove Armario's conjecture . This is based on joint work with Gary Greaves.
Item Metadata
| Title |
Skew-symmetric EW Matrices and Tournaments
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2017-07-08T14:31
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| Description |
In 2015, Armario conjectured that there exists a skew-symmetric EW matrix of order $4t+2$ if and only if there exists a tournament matrix $A$ with characteristic polynomial
\[
\chi_A(x) = \left ( x^3 - (2t-1)x^2 - t(4t-1) \right ) \left ( x^2+x+t \right )^{2t-1}.
\]
In this talk, we prove Armario's conjecture .
This is based on joint work with Gary Greaves.
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| Extent |
30 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: Aichi University of Education
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| Series | |
| Date Available |
2018-01-05
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0362590
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Faculty
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Item Media
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International