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- W4297798440 abstract "Let $vec{K}_{mathbb{N}}$ be the complete symmetric digraph on the positive integers. Answering a question of DeBiasio and McKenney, we construct a 2-colouring of the edges of $vec{K}_{mathbb{N}}$ in which every monochromatic path has density 0. On the other hand, we show that, in every colouring that does not have a directed path with $r$ edges in the first colour, there is directed path in the second colour with density at least $frac1r$." @default.
- W4297798440 created "2022-10-01" @default.
- W4297798440 creator A5000751387 @default.
- W4297798440 date "2017-10-30" @default.
- W4297798440 modified "2023-10-14" @default.
- W4297798440 title "Monochromatic Paths in the Complete Symmetric Infinite Digraph" @default.
- W4297798440 doi "https://doi.org/10.48550/arxiv.1710.10900" @default.
- W4297798440 hasPublicationYear "2017" @default.
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