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math.CO2024
Four-coloring Eulerian triangulations of the torus
Marcin Brianski, Daniel Kral, Ander Lamaison +1
Hutchinson, Richter and Seymour [J. Combin. Theory Ser. B 84 (2002), 225-239] showed that every Eulerian triangulation of an orientable surface that has a sufficiently high represe…
math.CO2024
The uniform Turán density of large stars
Ander Lamaison, Zhuo Wu
We asymptotically resolve the the uniform Turán density problem for the large stars. In particular, we show that the uniform Turán density of the -star is $\frac{k^2-5k+7}…
math.CO2024
Palettes determine uniform Turán density
Ander Lamaison
Turán problems, which concern the minimum density threshold required for the existence of a particular substructure, are among the most fundamental problems in extremal combinatori…