Conlon, David (2022) Monochromatic combinatorial lines of length three. Proceedings of the American Mathematical Society, 150 (1). pp. 1-4. ISSN 0002-9939. doi:10.1090/proc/15739. https://resolver.caltech.edu/CaltechAUTHORS:20190819-170936221
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Abstract
We show that there is a positive constant c such that any colouring of the cube [3]^n in c log log n colours contains a monochromatic combinatorial line.
| Item Type: | Article | |||||||||
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| Additional Information: | © 2021 American Mathematical Society. Received by the editors September 8, 2019. Research was supported by ERC Starting Grant 676632 and by NSF Award DMS-2054452. | |||||||||
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| Issue or Number: | 1 | |||||||||
| Classification Code: | 2020 Mathematics Subject Classification: Primary 05D10 | |||||||||
| DOI: | 10.1090/proc/15739 | |||||||||
| Record Number: | CaltechAUTHORS:20190819-170936221 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20190819-170936221 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 98033 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Melissa Ray | |||||||||
| Deposited On: | 20 Aug 2019 23:09 | |||||||||
| Last Modified: | 16 Feb 2022 18:21 |
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