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https://hdl.handle.net/10356/144977| Title: | Symmetric and skew-symmetric {0, ±1} - matrices with large determinants | Authors: | Greaves, Gary Suda, Sho |
Keywords: | Mathematics - Combinatorics Mathematics - Combinatorics Science::Mathematics |
Issue Date: | 2016 | Source: | Greaves, G., & Suda, S. (2017). Symmetric and Skew-Symmetric {0,±1}-Matrices with Large Determinants. Journal of Combinatorial Designs, 25(11), 507–522. doi:10.1002/jcd.21567 | Journal: | Journal of Combinatorial Designs | Abstract: | We show that the existence of {±}-matrices having largest possible determinant is equivalent to the existence of certain tournament matrices. In particular, we prove a recent conjecture of Armario. We also show that large submatrices of conference matrices are determined by their spectrum. | URI: | https://hdl.handle.net/10356/144977 | ISSN: | 1063-8539 | DOI: | 10.1002/jcd.21567 | Schools: | School of Physical and Mathematical Sciences | Rights: | This is the accepted version of the following article: Greaves, G., & Suda, S. (2017). Symmetric and Skew-Symmetric {0,±1}-Matrices with Large Determinants. Journal of Combinatorial Designs, 25(11), 507–522., which has been published in final form at 10.1002/jcd.21567. This article may be used for non-commercial purposes in accordance with the Wiley Self-Archiving Policy [https://authorservices.wiley.com/authorresources/Journal-Authors/licensing/self-archiving.html]. | Fulltext Permission: | open | Fulltext Availability: | With Fulltext |
| Appears in Collections: | SPMS Journal Articles |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Symmetric and skew-symmetric {0,±1}-matrices with large determinants.pdf | 195.99 kB | Adobe PDF |  View/Open |
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