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Komjáth, The chromatic number of infinite graphs—a survey , Discrete Math

· 2011 · DOI 10.1016/j.disc.2010.11.004

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On the growth rate of dichromatic numbers of finite subdigraphs

math.CO · 2019-08-20 · conditional · novelty 7.0

For every growth function f, there are uncountably dichromatic digraphs of size continuum in which every (n+2)-dichromatic finite subdigraph has at least f(n) vertices, and it is consistent with arbitrarily large continuum that the same holds with optimal size for every infinite cardinal kappa up…

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  • On the growth rate of dichromatic numbers of finite subdigraphs math.CO · 2019-08-20 · conditional · none · ref 6

    For every growth function f, there are uncountably dichromatic digraphs of size continuum in which every (n+2)-dichromatic finite subdigraph has at least f(n) vertices, and it is consistent with arbitrarily large continuum that the same holds with optimal size for every infinite cardinal kappa up…