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https://hdl.handle.net/10356/104621| Title: | Equiangular line systems and switching classes containing regular graphs | Authors: | Greaves, Gary Royden Watson | Keywords: | Equiangular Lines DRNTU::Science::Mathematics Seidel Matrix |
Issue Date: | 2017 | Source: | Greaves, G. R. W. (2017). Equiangular line systems and switching classes containing regular graphs. Linear Algebra and its Applications, 536, 31-51. doi:10.1016/j.laa.2017.09.008 | Series/Report no.: | Linear Algebra and its Applications | Abstract: | We develop the theory of equiangular lines in Euclidean spaces. Our focus is on the question of when a Seidel matrix having precisely three distinct eigenvalues has a regular graph in its switching class. We make some progress towards an answer to this question by finding some necessary conditions and some sufficient conditions. Furthermore we show that the cardinality of an equiangular line system in 18 dimensional Euclidean space is at most 60. | URI: | https://hdl.handle.net/10356/104621 http://hdl.handle.net/10220/47869 |
ISSN: | 0024-3795 | DOI: | 10.1016/j.laa.2017.09.008 | Rights: | © 2017 Elsevier Inc. All rights reserved. This paper was published in Linear Algebra and Its Applications and is made available with permission of Elsevier Inc. | Fulltext Permission: | open | Fulltext Availability: | With Fulltext |
| Appears in Collections: | SPMS Journal Articles |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| EQUIANGULAR LINE SYSTEMS AND.pdf | 242 kB | Adobe PDF |  View/Open |
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