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math.CO2026
Polynomial families of incident flags and explicit off-diagonal Ramsey graphs
Brecht Verbeken, Brecht F. Verbeken
We construct explicit off-diagonal Ramsey graphs from polynomial families of incident point--hyperplane flags. Universal interpolation translates the exact dimension of ordered cli…
math.CO2026
The Eigenvalue Region of a Family of Markov Chains with Randomness Confined to Two States
Brecht Verbeken, Brecht F. Verbeken, Vincent Ginis
We determine the complete eigenvalue region of the following Markov chains on states, for . The states are and . Each transitio…