GARBE, Frederik, Daniel KRÁĽ and Ander LAMAISON VIDARTE. Hypergraphs with Minimum Positive Uniform Turán Density. In Trends in Mathematics, Volume 14, Extended Abstracts of EuroComb 2021, European Conference on Combinatorics, Graph Theory and Applications. Barcelona: Birkhäuser, 2021, p. 148-153. ISBN 978-3-030-83822-5. Available from: https://dx.doi.org/10.1007/978-3-030-83823-2_24. |
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@inproceedings{1860106, author = {Garbe, Frederik and Kráľ, Daniel and Lamaison Vidarte, Ander}, address = {Barcelona}, booktitle = {Trends in Mathematics, Volume 14, Extended Abstracts of EuroComb 2021, European Conference on Combinatorics, Graph Theory and Applications}, doi = {http://dx.doi.org/10.1007/978-3-030-83823-2_24}, keywords = {extremal combinatorics; Turán density; uniform Turán density}, howpublished = {tištěná verze "print"}, language = {eng}, location = {Barcelona}, isbn = {978-3-030-83822-5}, pages = {148-153}, publisher = {Birkhäuser}, title = {Hypergraphs with Minimum Positive Uniform Turán Density}, year = {2021} }
TY - JOUR ID - 1860106 AU - Garbe, Frederik - Kráľ, Daniel - Lamaison Vidarte, Ander PY - 2021 TI - Hypergraphs with Minimum Positive Uniform Turán Density PB - Birkhäuser CY - Barcelona SN - 9783030838225 KW - extremal combinatorics KW - Turán density KW - uniform Turán density N2 - Reiher, Rödl and Schacht [J. London Math. Soc. 97 (2018), 77–97] showed that the uniform Turán density of every 3-uniform hypergraph is either 0 or at least 1/27, and asked whether there exist 3-uniform hypergraphs with uniform Turán density equal or arbitrarily close to 1/27. We construct 3-uniform hypergraphs with uniform Turán density equal to 1/27. ER -
GARBE, Frederik, Daniel KRÁĽ and Ander LAMAISON VIDARTE. Hypergraphs with Minimum Positive Uniform Turán Density. In \textit{Trends in Mathematics, Volume 14, Extended Abstracts of EuroComb 2021, European Conference on Combinatorics, Graph Theory and Applications}. Barcelona: Birkhäuser, 2021, p.~148-153. ISBN~978-3-030-83822-5. Available from: https://dx.doi.org/10.1007/978-3-030-83823-2\_{}24.
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