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@article{2391758,
author = {Garbe, Frederik and Hancock, Robert Arthur and Hladky, Jan and Sharifzadeh, Maryam},
article_location = {CAMBRIDGE},
article_number = {8},
doi = {http://dx.doi.org/10.19086/da.83253},
keywords = {Latin square; Latinon; limits of discrete structures; graphon},
language = {eng},
issn = {2397-3129},
journal = {Discrete Analysis},
title = {Limits of Latin Squares},
url = {https://doi.org/10.19086/da.83253},
volume = {2023},
year = {2023}
}
TY - JOUR
ID - 2391758
AU - Garbe, Frederik - Hancock, Robert Arthur - Hladky, Jan - Sharifzadeh, Maryam
PY - 2023
TI - Limits of Latin Squares
JF - Discrete Analysis
VL - 2023
IS - 8
SP - 1-66
EP - 1-66
PB - ALLIANCE DIAMOND OPEN ACCESS JOURNALS
SN - 23973129
KW - Latin square
KW - Latinon
KW - limits of discrete structures
KW - graphon
UR - https://doi.org/10.19086/da.83253
N2 - We develop a limit theory of Latin squares, paralleling the recent limit theories of dense graphs and permutations. We introduce a notion of density, an appropriate version of the cut distance, and a space of limit objects - so-called Latinons. Key results of our theory are the compactness of the limit space and the equivalence of the topologies induced by the cut distance and the left-convergence. Last, using Keevash's recent results on combinatorial designs, we prove that each Latinon can be approximated by a finite Latin square.
ER -
GARBE, Frederik, Robert Arthur HANCOCK, Jan HLADKY a Maryam SHARIFZADEH. Limits of Latin Squares. \textit{Discrete Analysis}. CAMBRIDGE: ALLIANCE DIAMOND OPEN ACCESS JOURNALS, 2023, roč.~2023, č.~8, s.~1-66. ISSN~2397-3129. Dostupné z: https://dx.doi.org/10.19086/da.83253.
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