Type: Article

Update on Sidon-Ramsey numbers

Espinosa-García, Manuel A.; Pellicer, Daniel;

Abstract:

We add two new exact Sidon–Ramsey numbers to the list known so far. In so doing, we exhibit the first known non-balanced Sidon–Ramsey partition. We also improve the upper bounds of the next two Sidon–Ramsey numbers, also commenting further on the tendencies we found on the Sidon–Ramsey partitions that were studied to obtain these results.