Quasirandom Latin squares
| Authors | |
|---|---|
| Year of publication | 2022 |
| Type | Article in Periodical |
| Magazine / Source | Random Structures & Algorithms |
| MU Faculty or unit | |
| Citation | |
| web | https://arxiv.org/abs/2011.07572 |
| Doi | http://dx.doi.org/10.1002/rsa.21060 |
| Keywords | combinatorial limit; Latin square; Latinon; quasirandomness |
| Description | We prove a conjecture by Garbe et al. [arXiv:2010.07854] by showing that a Latin square is quasirandom if and only if the density of every 2x3 pattern is 1/720 + o(1). This result is the best possible in the sense that 2x3 cannot be replaced with 2x2 or 1xN for any N. |
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