The real equiangular tight frames obtained from rank $3$ graphs
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866913579344592896 |
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| author | Bannai, Eiichi Bannai, Etsuko Lee, Chin-Yen Tanaka, Hajime Yu, Wei-Hsuan |
| author_facet | Bannai, Eiichi Bannai, Etsuko Lee, Chin-Yen Tanaka, Hajime Yu, Wei-Hsuan |
| contents | We present all nontrivial real equiangular tight frames $\{φ_m\}_{m=1}^M$ in $\mathbb{R}^N$ obtained as spherical embeddings of primitive rank $3$ graphs on $M$ vertices, and those such that one of their associated $M$ strongly regular graphs on $M-1$ vertices is a primitive rank $3$ graph. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_09858 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The real equiangular tight frames obtained from rank $3$ graphs Bannai, Eiichi Bannai, Etsuko Lee, Chin-Yen Tanaka, Hajime Yu, Wei-Hsuan Combinatorics 42C15, 20B15, 05E30, 05C50 We present all nontrivial real equiangular tight frames $\{φ_m\}_{m=1}^M$ in $\mathbb{R}^N$ obtained as spherical embeddings of primitive rank $3$ graphs on $M$ vertices, and those such that one of their associated $M$ strongly regular graphs on $M-1$ vertices is a primitive rank $3$ graph. |
| title | The real equiangular tight frames obtained from rank $3$ graphs |
| topic | Combinatorics 42C15, 20B15, 05E30, 05C50 |
| url | https://arxiv.org/abs/2202.09858 |