{ "id": "1409.5871", "version": "v1", "published": "2014-09-20T09:10:06.000Z", "updated": "2014-09-20T09:10:06.000Z", "title": "The Sum and Product of Independence Numbers of Graphs and their Line Graphs", "authors": [ "Susanth C", "Sunny Joseph Kalayathankal" ], "comment": "11 Pages", "categories": [ "math.CO" ], "abstract": "The bounds on the sum and product of chromatic numbers of a graph and its complement are known as Nordhaus-Gaddum inequalities. In this paper, we study the bounds on the sum and product of the independence numbers of graphs and their line graphs.", "revisions": [ { "version": "v1", "updated": "2014-09-20T09:10:06.000Z" } ], "analyses": { "subjects": [ "05C69", "05C70" ], "keywords": [ "line graphs", "independence numbers", "chromatic numbers", "nordhaus-gaddum inequalities" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1409.5871C" } } }