{ "id": "1901.06754", "version": "v1", "published": "2019-01-21T00:29:27.000Z", "updated": "2019-01-21T00:29:27.000Z", "title": "Block-avoiding sequencings of points in Steiner triple systems", "authors": [ "Donald L. Kreher", "Douglas R. Stinson" ], "categories": [ "math.CO" ], "abstract": "Given an STS(v), we ask if there is a permutation of the points of the design such that no $\\ell$ consecutive points in this permutation contain a block of the design. Results are obtained in the cases $\\ell = 3,4$.", "revisions": [ { "version": "v1", "updated": "2019-01-21T00:29:27.000Z" } ], "analyses": { "subjects": [ "05B07" ], "keywords": [ "steiner triple systems", "block-avoiding sequencings", "permutation contain", "consecutive points" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }