{ "id": "1702.01355", "version": "v1", "published": "2017-02-05T00:38:24.000Z", "updated": "2017-02-05T00:38:24.000Z", "title": "Graphs without large $K_{2,n}$-minors", "authors": [ "Guoli Ding" ], "categories": [ "math.CO" ], "abstract": "The purpose of this paper is to characterize graphs that do not have a large $K_{2,n}$-minor. As corollaries, it is proved that, for any given positive integer $n$, every sufficiently large 3-connected graph with minimum degree at least six, every 4-connected graph with a vertex of sufficiently high degree, and every sufficiently large 5-connected graph must have a $K_{2,n}$-minor.", "revisions": [ { "version": "v1", "updated": "2017-02-05T00:38:24.000Z" } ], "analyses": { "keywords": [ "sufficiently large", "minimum degree", "sufficiently high degree", "characterize graphs" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }