Equiangular line systems and switching classes containing regular graphs
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 a...
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| Format: | Journal Article |
| Language: | English |
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2019
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| Online Access: | https://hdl.handle.net/10356/104621 http://hdl.handle.net/10220/47869 |
| _version_ | 1826110908740403200 |
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| author | Greaves, Gary Royden Watson |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Greaves, Gary Royden Watson |
| author_sort | Greaves, Gary Royden Watson |
| collection | NTU |
| description | 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. |
| first_indexed | 2024-10-01T02:42:12Z |
| format | Journal Article |
| id | ntu-10356/104621 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T02:42:12Z |
| publishDate | 2019 |
| record_format | dspace |
| spelling | ntu-10356/1046212023-02-28T19:34:23Z Equiangular line systems and switching classes containing regular graphs Greaves, Gary Royden Watson School of Physical and Mathematical Sciences Equiangular Lines DRNTU::Science::Mathematics Seidel Matrix 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. Accepted version 2019-03-20T07:23:52Z 2019-12-06T21:36:23Z 2019-03-20T07:23:52Z 2019-12-06T21:36:23Z 2017 Journal Article 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 0024-3795 https://hdl.handle.net/10356/104621 http://hdl.handle.net/10220/47869 10.1016/j.laa.2017.09.008 en Linear Algebra and its Applications © 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. 16 p. application/pdf |
| spellingShingle | Equiangular Lines DRNTU::Science::Mathematics Seidel Matrix Greaves, Gary Royden Watson Equiangular line systems and switching classes containing regular graphs |
| title | Equiangular line systems and switching classes containing regular graphs |
| title_full | Equiangular line systems and switching classes containing regular graphs |
| title_fullStr | Equiangular line systems and switching classes containing regular graphs |
| title_full_unstemmed | Equiangular line systems and switching classes containing regular graphs |
| title_short | Equiangular line systems and switching classes containing regular graphs |
| title_sort | equiangular line systems and switching classes containing regular graphs |
| topic | Equiangular Lines DRNTU::Science::Mathematics Seidel Matrix |
| url | https://hdl.handle.net/10356/104621 http://hdl.handle.net/10220/47869 |
| work_keys_str_mv | AT greavesgaryroydenwatson equiangularlinesystemsandswitchingclassescontainingregulargraphs |