{ "id": "1401.4817", "version": "v1", "published": "2014-01-20T08:00:53.000Z", "updated": "2014-01-20T08:00:53.000Z", "title": "Binomial edge ideals with pure resolutions", "authors": [ "Dariush Kiani", "Sara Saeedi Madani" ], "comment": "10 pages, 8 figures, To appear in Collectanea Math", "categories": [ "math.CO", "math.AC" ], "abstract": "We characterize all graphs whose binomial edge ideals have pure resolutions. Moreover, we introduce a new switching of graphs which does not change some algebraic invariants of graphs, and using this, we study the linear strand of the binomial edge ideals for some classes of graphs. Also, we pose a conjecture on the linear strand of such ideals for every graph.", "revisions": [ { "version": "v1", "updated": "2014-01-20T08:00:53.000Z" } ], "analyses": { "subjects": [ "05E40", "05C25", "16E05", "13C05" ], "keywords": [ "binomial edge ideals", "pure resolutions", "linear strand", "algebraic invariants", "conjecture" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1401.4817K" } } }