{ "id": "2005.12861", "version": "v1", "published": "2020-05-26T16:44:28.000Z", "updated": "2020-05-26T16:44:28.000Z", "title": "Finding an induced path that is not a shortest path", "authors": [ "Eli Berger", "Paul Seymour", "Sophie Spirkl" ], "categories": [ "math.CO" ], "abstract": "We give a polynomial-time algorithm that, with input a graph $G$ and two vertices $u,v$ of $G$, decides whether there is an induced $uv$-path that is longer than the shortest $uv$-path.", "revisions": [ { "version": "v1", "updated": "2020-05-26T16:44:28.000Z" } ], "analyses": { "keywords": [ "shortest path", "induced path", "polynomial-time algorithm" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }