Tightness of the weight-distribution bound for strongly regular polar graphs
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911942653771776 |
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| author | Evans, Rhys J. Goryainov, Sergey Shalaginov, Leonid |
| author_facet | Evans, Rhys J. Goryainov, Sergey Shalaginov, Leonid |
| contents | In this paper we show the tightness of the weight-distribution bound for the positive non-principle eigenvalue of strongly regular (affine) polar graphs and characterise the optimal eigenfunctions. Additionally, we show the tightness of the weight-distribution bound for the negative non-principle eigenvalue of some unitary polar graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_02780 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tightness of the weight-distribution bound for strongly regular polar graphs Evans, Rhys J. Goryainov, Sergey Shalaginov, Leonid Combinatorics In this paper we show the tightness of the weight-distribution bound for the positive non-principle eigenvalue of strongly regular (affine) polar graphs and characterise the optimal eigenfunctions. Additionally, we show the tightness of the weight-distribution bound for the negative non-principle eigenvalue of some unitary polar graphs. |
| title | Tightness of the weight-distribution bound for strongly regular polar graphs |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2407.02780 |