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math.CO2018★ 4 cited
Upper density of monochromatic infinite paths
Jan Corsten, Louis DeBiasio, Ander Lamaison +1
We prove that in every -colouring of the edges of there exists a monochromatic infinite path such that has upper density at least ${(12+\sqrt{8})}/{17}…
math.CO2018★ 3 cited
Monochromatic cycle partitions in random graphs
Richard Lang, Allan Lo
Erdős, Gyárfás and Pyber showed that every -edge-coloured complete graph can be covered by vertex-disjoint monochromatic cycles (independent of ). Here,…