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math.CO2023
Abundance: Asymmetric Graph Removal Lemmas and Integer Solutions to Linear Equations
António Girão, Eoin Hurley, Freddie Illingworth +1
We prove that a large family of pairs of graphs satisfy a polynomial dependence in asymmetric graph removal lemmas. In particular, we give an unexpected answer to a question of Gis…
math.CO2023★ 1 cited
Uniformly Random Colourings of Sparse Graphs
Eoin Hurley, François Pirot
We analyse uniformly random proper -colourings of sparse graphs with maximum degree in the regime . This regime corresponds to the lower side of the shattering t…