{ "id": "2202.09191", "version": "v1", "published": "2022-02-18T13:47:29.000Z", "updated": "2022-02-18T13:47:29.000Z", "title": "Heroes in orientations of chordal graphs", "authors": [ "Pierre Aboulker", "Guillaume Aubian", "Raphael Steiner" ], "categories": [ "math.CO", "cs.DM" ], "abstract": "We characterize all digraphs $H$ such that orientations of chordal graphs with no induced copy of $H$ have bounded dichromatic number.", "revisions": [ { "version": "v1", "updated": "2022-02-18T13:47:29.000Z" } ], "analyses": { "keywords": [ "chordal graphs", "orientations", "bounded dichromatic number" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }