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math.CO2024
Extending the Continuum of Six-Colorings
Konrad Mundinger, Sebastian Pokutta, Christoph Spiegel +1
We present two novel six-colorings of the Euclidean plane that avoid monochromatic pairs of points at unit distance in five colors and monochromatic pairs at another specified dist…
math.CO2023
The Four-Color Ramsey Multiplicity of Triangles
Aldo Kiem, Sebastian Pokutta, Christoph Spiegel
We study a generalization of a famous result of Goodman and establish that asymptotically at least a fraction of all triangles needs to be monochromatic in any four-colorin…