Update on Sidon-Ramsey numbers

We provide two new exact Sidon-Ramsey numbers to the list known so far. We also improve the upper bounds of the next two Sidon-Ramsey numbers. In doing so, we comment on the tendencies we found on the Sidon-Ramsey partitions that were studied to obtain these results.

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Bibliographic Details
Published in:arXiv.org 2023-09
Main Authors: Espinosa-García, Manuel A, Pellicer, Daniel
Format: Article
Language:English
Subjects:
Upper bounds
Online Access:Get full text
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Description
Summary:We provide two new exact Sidon-Ramsey numbers to the list known so far. We also improve the upper bounds of the next two Sidon-Ramsey numbers. In doing so, we comment on the tendencies we found on the Sidon-Ramsey partitions that were studied to obtain these results.
ISSN:2331-8422