Furkejuvvon:
| Váldodahkkit: | , , |
|---|---|
| Materiálatiipa: | Preprint |
| Almmustuhtton: |
2025
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| Fáttát: | |
| Liŋkkat: | https://arxiv.org/abs/2505.01034 |
| Fáddágilkorat: |
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Sisdoallologahallan:
- Motivated by a question of Angell, we investigate a variant of Ramsey numbers where some edges are coloured simultaneously red and blue, which we call purple. Specifically, we are interested in the largest number $g=g(n;s,t)$, for some $s$ and $t$ and $n<R(s,t)$, such that there exists a red/blue/purple colouring of $K_n$ with $g$ purple edges, with no red/purple copy of $K_s$ nor blue/purple copy of $K_t$. We determine $g$ asymptotically for a large family of parameters, exhibiting strong dependencies with Ramsey-Turán numbers.