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math.CO2026
On the list version of a conjecture of Erdős and Neumann-Lara
Ararat Harutyunyan, Lucas Picasarri-Arrieta, Gil Puig i Surroca
The dichromatic number of a digraph , denoted by , is the smallest number of colours required to colour the vertices of such that each colour class induces an acyc…
math.CO2026
Acyclic sets and colorings in digraphs under restrictions on degrees and cycle lengths
Ararat Harutyunyan, Colin McDiarmid, Gil Puig i Surroca
Given a digraph , we denote by the maximum size of an acyclic set of (i.e. a set of vertices which induces a subdigraph with no directed cycles), and by $\vecχ(D)…