{ "id": "1506.04629", "version": "v1", "published": "2015-06-15T15:20:03.000Z", "updated": "2015-06-15T15:20:03.000Z", "title": "The 3-colorability of planar graphs without cycles of length 4, 6 and 9", "authors": [ "Yingli Kang", "Ligang Jin", "Yingqian Wang" ], "comment": "15 pages, 1 figure", "categories": [ "math.CO" ], "abstract": "In this paper, we prove that planar graphs without cycles of length 4, 6, 9 are 3-colorable.", "revisions": [ { "version": "v1", "updated": "2015-06-15T15:20:03.000Z" } ], "analyses": { "subjects": [ "05C10", "05C15" ], "keywords": [ "planar graphs" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable" } } }