{ "id": "0709.1935", "version": "v1", "published": "2007-09-12T17:46:29.000Z", "updated": "2007-09-12T17:46:29.000Z", "title": "Clique-width of unit interval graphs", "authors": [ "Vadim V. Lozin" ], "comment": "9 pages, 1 figure", "categories": [ "math.CO" ], "abstract": "The clique-width is known to be unbounded in the class of unit interval graphs. In this paper, we show that this is a minimal hereditary class of unbounded clique-width, i.e., in every hereditary subclass of unit interval graphs the clique-width is bounded by a constant.", "revisions": [ { "version": "v1", "updated": "2007-09-12T17:46:29.000Z" } ], "analyses": { "subjects": [ "05C75" ], "keywords": [ "unit interval graphs", "minimal hereditary class", "hereditary subclass", "unbounded clique-width" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0709.1935L" } } }