Locally resolvable BIBDs and generalized quadrangles with ovoids
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914897419304960 |
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| author | McCulloch, Ryan |
| author_facet | McCulloch, Ryan |
| contents | In this note we establish a 1-to-1 correspondence between the class of generalized quadrangles with ovoids and the class of balanced incomplete block designs that posses a non-triangular local resolution system and have the appropriate parameters. We present a non-triangular local resolution system for a difference family BIBD construction of Sprott. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_00887 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Locally resolvable BIBDs and generalized quadrangles with ovoids McCulloch, Ryan Combinatorics Primary 05B25, Secondary 05B05 In this note we establish a 1-to-1 correspondence between the class of generalized quadrangles with ovoids and the class of balanced incomplete block designs that posses a non-triangular local resolution system and have the appropriate parameters. We present a non-triangular local resolution system for a difference family BIBD construction of Sprott. |
| title | Locally resolvable BIBDs and generalized quadrangles with ovoids |
| topic | Combinatorics Primary 05B25, Secondary 05B05 |
| url | https://arxiv.org/abs/2408.00887 |