Locally countable Borel directed graphs with finite Borel chromatic number admit Borel quasi-kernels; a new proof yields the known (n+1)(n+2)/2 chromatic bound for out-degree n.
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Borel Kernels in Borel Directed Graphs
Locally countable Borel directed graphs with finite Borel chromatic number admit Borel quasi-kernels; a new proof yields the known (n+1)(n+2)/2 chromatic bound for out-degree n.