{ "id": "1401.7928", "version": "v2", "published": "2014-01-30T17:25:29.000Z", "updated": "2014-07-27T13:51:43.000Z", "title": "On Linkedness of Cartesian Product of Graphs", "authors": [ "Gabor Meszaros" ], "categories": [ "math.CO" ], "abstract": "We study linkedness of Cartesian product of graphs and prove that the product of an $a$-linked and a $b$-linked graphs is $(a+b-1)$-linked if the graphs are sufficiently large. Further bounds in terms of connectivity are shown. We determine linkedness of product of paths and product of cycles.", "revisions": [ { "version": "v2", "updated": "2014-07-27T13:51:43.000Z" } ], "analyses": { "keywords": [ "cartesian product", "study linkedness", "determine linkedness", "linked graphs" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }