{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,9]],"date-time":"2026-03-09T10:19:12Z","timestamp":1773051552203,"version":"3.50.1"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>We prove that  a binomial edge ideal of a graph $G$ has a quadratic Gr\u00f6bner basis with respect to some term order if and only if the graph  $G$ is closed  with respect to a given labelling of the vertices. We also state some criteria for the closedness of a graph $G$ that do not depend on the labelling of its vertex set.<\/jats:p>","DOI":"10.37236\/698","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T22:40:41Z","timestamp":1578696041000},"source":"Crossref","is-referenced-by-count":17,"title":["Binomial Edge Ideals with Quadratic Gr\u00f6bner Bases"],"prefix":"10.37236","volume":"18","author":[{"given":"Marilena","family":"Crupi","sequence":"first","affiliation":[]},{"given":"Giancarlo","family":"Rinaldo","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2011,10,31]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v18i1p211\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v18i1p211\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T18:00:25Z","timestamp":1579284025000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v18i1p211"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,10,31]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2011,1,5]]}},"URL":"https:\/\/doi.org\/10.37236\/698","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,10,31]]},"article-number":"P211"}}