On coloring digraphs with forbidden induced subgraphs

Speaker: Raphael Steiner (TU Berlin)

Abstract: We prove a conjecture by Aboulker, Charbit and Naserasr by showing that every oriented graph in which the out-neighborhood of every vertex induces a transitive tournament can be partitioned into two acyclic induced subdigraphs. We prove multiple extensions of this result to larger classes of digraphs defined by a finite list of forbidden induced subdigraphs. We thereby resolve several special cases of an extension of the famous Gyárfás-Sumner conjecture to directed graphs by Aboulker et al.

Date and time: 29/04/2021 at 14:30 (Paris time)

Link to the talk: https://bbb-temp.grenet.fr/b/lou-9x7-69p