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math.CO2024
Forcing quasirandomness with 4-point permutations
Daniel Kráľ, Jae-baek Lee, Jonathan A. Noel
A combinatorial object is said to be quasirandom if it exhibits certain properties that are typically seen in a truly random object of the same kind. It is known that a permutation…
math.CO2014★ 1 cited
Mixing Homomorphisms, Recolourings, and Extending Circular Precolourings
Richard C. Brewster, Jonathan A. Noel
This work brings together ideas of mixing graph colourings, discrete homotopy, and precolouring extension. A particular focus is circular colourings. We prove that all the -…