{ "id": "0810.0508", "version": "v2", "published": "2008-10-02T18:14:52.000Z", "updated": "2008-11-04T09:26:47.000Z", "title": "Drawing disconnected graphs on the Klein bottle", "authors": [ "Laurent Beaudou", "Antoine Gerbaud", "Roland Grappe", "Frederic Palesi" ], "comment": "13 pages, second version, major changes in the proof", "categories": [ "math.CO" ], "abstract": "We prove that two disjoint graphs must always be drawn separately on the Klein bottle, in order to minimize the crossing number of the whole drawing.", "revisions": [ { "version": "v2", "updated": "2008-11-04T09:26:47.000Z" } ], "analyses": { "subjects": [ "05C10" ], "keywords": [ "klein bottle", "drawing disconnected graphs", "disjoint graphs" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0810.0508B" } } }