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Progressions in Euclidean Ramsey theory

Year: 2024
Type: article
Abstract: Conlon and Wu (2022) showed that there is a red/blue-coloring of E n that does not contain 3 red collinear points separated by unit distance and m = 1 0 50 blue collinear points separated by unit distance. We prove that the statement holds with m = 1177 . We show similar results with different distances between the points.
DOI: 10.1016/j.ejc.2024.104105
Language: English
Open Access status: hybrid
Estimated APC paid: $3,000
Funders: Austrian Science Fund, Nemzeti Kutatási és Technológiai Hivatal, Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, European Research Council, National Research, Development and Innovation Office, H2020 European Research Council
Awards: G1801092704, G2185339507, G2759104136, G3554319292, Discrete Mathematics, From Geometry to Combinatorics and Back: Escaping the Curse of Dimensionality
OpenAlex ID: W4392019754
FWCI: 3.23
Cites: 5
Cited by: 3
Related to: 10