{ "id": "0903.1396", "version": "v1", "published": "2009-03-08T08:54:25.000Z", "updated": "2009-03-08T08:54:25.000Z", "title": "Equitable coloring of interval graphs and products of graphs", "authors": [ "Bor-Liang Chen", "Ko-Wei Lih", "Jing-Ho Yan" ], "comment": "11 pages, Festschrift in honor of Man Keung Siu", "categories": [ "math.CO" ], "abstract": "We confirm the equitable $\\Delta$-coloring conjecture for interval graphs and establish the monotonicity of equitable colorability for them. We further obtain results on equitable colorability about square (or Cartesian) and cross (or direct) products of graphs.", "revisions": [ { "version": "v1", "updated": "2009-03-08T08:54:25.000Z" } ], "analyses": { "subjects": [ "05C15" ], "keywords": [ "interval graphs", "equitable coloring", "equitable colorability", "monotonicity" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0903.1396C" } } }