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math.CO2026
Shifted S-templates and improved lower bounds for Schur numbers
Nils Bengone, Amine Brouk, Max Grinsztajn +4
We present an extension of the template-based approach for Schur numbers developed by Rowley. This new form of template construction, which we call shifted S-templates, was discove…
math.CO2021
New lower bounds for Schur and weak Schur numbers
Romain Ageron, Paul Casteras, Thibaut Pellerin +3
This article provides new lower bounds for both Schur and weak Schur numbers by exploiting a "template"-based approach. The concept of "template" is also generalized to weak Schur…