{ "id": "1601.06031", "version": "v1", "published": "2016-01-22T15:01:32.000Z", "updated": "2016-01-22T15:01:32.000Z", "title": "Flip-connectivity of triangulations of the product of a tetrahedron and simplex", "authors": [ "Gaku Liu" ], "categories": [ "math.CO" ], "abstract": "A flip is a minimal move between two triangulations of a polytope. An open question is whether any two triangulations of the product of two simplices can be connected through a series of flips. This was proven in the case where one of the simplices is a triangle by Santos in 2005. In this paper we extend this to when one of the simplices is a tetrahedron.", "revisions": [ { "version": "v1", "updated": "2016-01-22T15:01:32.000Z" } ], "analyses": { "keywords": [ "triangulations", "tetrahedron", "flip-connectivity", "minimal move", "open question" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160106031L" } } }