M. Rundstrom

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math.CO2025

The structure of $I^ (1, 2, 2)$ -free tournaments

Seokbeom Kim, Taite LaGrange, Mathieu RundstrÃ¶m +2

We extend the list of tournaments $S$ for which the complete structural description for tournaments excluding $S$ as a subtournament is known. Specifically, let $I^ (1, 2, 2)$ be a…

math.CO2025

An improved upper bound for the multicolour Ramsey number of odd cycles

Maria Axenovich, Wouter Cames van Batenburg, Oliver Janzer +2

We show that the $k$ -colour Ramsey number of an odd cycle of length $2 ℓ + 1$ is at most $(4 ℓ)^{k} \cdot k^{k / ℓ}$ . This proves a conjecture of Fox and is the first improvem…

The structure of I^(1,2,2)-free tournaments

An improved upper bound for the multicolour Ramsey number of odd cycles

The structure of $I^ (1, 2, 2)$ -free tournaments