| COOPER, Jacob, Daniel KRÁĽ, Ander LAMAISON VIDARTE a Josef Samuel MOHR. Quasirandom Latin squares. Random Structures & Algorithms. United Kingdom: John Wiley and Sons Ltd, 2022, roč. 61, č. 2, s. 298-308. ISSN 1098-2418. Dostupné z: https://dx.doi.org/10.1002/rsa.21060. |
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@article{1802751,
author = {Cooper, Jacob and Kráľ, Daniel and Lamaison Vidarte, Ander and Mohr, Josef Samuel},
article_location = {United Kingdom},
article_number = {2},
doi = {http://dx.doi.org/10.1002/rsa.21060},
keywords = {combinatorial limit; Latin square; Latinon; quasirandomness},
language = {eng},
issn = {1098-2418},
journal = {Random Structures & Algorithms},
title = {Quasirandom Latin squares},
url = {https://arxiv.org/abs/2011.07572},
volume = {61},
year = {2022}
}
TY - JOUR
ID - 1802751
AU - Cooper, Jacob - Kráľ, Daniel - Lamaison Vidarte, Ander - Mohr, Josef Samuel
PY - 2022
TI - Quasirandom Latin squares
JF - Random Structures & Algorithms
VL - 61
IS - 2
SP - 298-308
EP - 298-308
PB - John Wiley and Sons Ltd
SN - 10982418
KW - combinatorial limit
KW - Latin square
KW - Latinon
KW - quasirandomness
UR - https://arxiv.org/abs/2011.07572
N2 - 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.
ER -
COOPER, Jacob, Daniel KRÁĽ, Ander LAMAISON VIDARTE a Josef Samuel MOHR. Quasirandom Latin squares. \textit{Random Structures \&{} Algorithms}. United Kingdom: John Wiley and Sons Ltd, 2022, roč.~61, č.~2, s.~298-308. ISSN~1098-2418. Dostupné z: https://dx.doi.org/10.1002/rsa.21060.
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