P-Polynomial and Bipartite Coherent Configurations
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913590796091392 |
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| author | Lato, Sabrina |
| author_facet | Lato, Sabrina |
| contents | We introduce the notion of P-polynomial coherent configurations and show that they can have at most two fibres. We then introduce a class of two-fibre coherent configurations which have two distinguished bases for the coherent algebra, similar to the Bose-Mesner algebra of an association scheme. Examples of these bipartite coherent configurations include the P-polynomial class of distance-biregular graphs, as well as quasi-symmetric designs and strongly regular designs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_01493 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | P-Polynomial and Bipartite Coherent Configurations Lato, Sabrina Combinatorics 05E30 (Primary) 05C50, 05B20 (Secondary) We introduce the notion of P-polynomial coherent configurations and show that they can have at most two fibres. We then introduce a class of two-fibre coherent configurations which have two distinguished bases for the coherent algebra, similar to the Bose-Mesner algebra of an association scheme. Examples of these bipartite coherent configurations include the P-polynomial class of distance-biregular graphs, as well as quasi-symmetric designs and strongly regular designs. |
| title | P-Polynomial and Bipartite Coherent Configurations |
| topic | Combinatorics 05E30 (Primary) 05C50, 05B20 (Secondary) |
| url | https://arxiv.org/abs/2405.01493 |