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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.04067 |
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| _version_ | 1866910562563129344 |
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| author | McCarthy, Dermot Monico, Chris |
| author_facet | McCarthy, Dermot Monico, Chris |
| contents | We construct an edge-colored digraph analogous to Mathon's construction for undirected graphs. We show that this graph is connected to the $k$-th power Paley digraphs and we use this connection to produce improved lower bounds for multicolor directed Ramsey numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_04067 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Mathon-type construction for digraphs and improved lower bounds for Ramsey numbers McCarthy, Dermot Monico, Chris Combinatorics We construct an edge-colored digraph analogous to Mathon's construction for undirected graphs. We show that this graph is connected to the $k$-th power Paley digraphs and we use this connection to produce improved lower bounds for multicolor directed Ramsey numbers. |
| title | A Mathon-type construction for digraphs and improved lower bounds for Ramsey numbers |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2408.04067 |