{ "id": "1410.1971", "version": "v1", "published": "2014-10-08T03:13:22.000Z", "updated": "2014-10-08T03:13:22.000Z", "title": "Intrinsic 3-linkedness is Not Preserved by $\\text{Y}\\nabla$ moves", "authors": [ "Danielle O'Donnol" ], "comment": "11 pages, 7 figures", "categories": [ "math.GT" ], "abstract": "This paper introduces a number of new intrinsically 3-linked graphs through five new constructions. We then prove that intrinsic 3-linkedness is not preserved by $\\text{Y}\\nabla$ moves. We will see that the graph $M$, which is obtained through a $\\text{Y}\\nabla$ move on $(PG)^*_*(PG)$, is not intrinsically 3-linked.", "revisions": [ { "version": "v1", "updated": "2014-10-08T03:13:22.000Z" } ], "analyses": { "subjects": [ "57M15", "57M25", "05C10" ], "keywords": [ "constructions" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1410.1971O" } } }