{ "id": "2111.00089", "version": "v2", "published": "2021-10-29T21:21:55.000Z", "updated": "2022-05-06T13:57:42.000Z", "title": "Dimension bounds of classes of interval orders", "authors": [ "Csaba Biro", "Sida Wan" ], "categories": [ "math.CO" ], "abstract": "In this paper, we discuss the dimension of interval orders having a representation using $n$ different interval lengths, and the dimension of interval orders which has a representation using length in $[1, r]$.", "revisions": [ { "version": "v2", "updated": "2022-05-06T13:57:42.000Z" } ], "analyses": { "keywords": [ "interval orders", "dimension bounds", "representation" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }