{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,29]],"date-time":"2025-09-29T08:22:17Z","timestamp":1759134137372,"version":"3.37.3"},"reference-count":17,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","funder":[{"DOI":"10.13039\/100007224","name":"National Foundation for Science and Technology Development","doi-asserted-by":"crossref","award":["101.04-2018.307"],"award-info":[{"award-number":["101.04-2018.307"]}],"id":[{"id":"10.13039\/100007224","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2020,2]]},"abstract":"<jats:p>We prove that [Formula: see text] for any staircase skew Ferrers graph [Formula: see text], where [Formula: see text] and [Formula: see text]. As a consequence, Ene et al. conjecture is confirmed to hold true for the Betti numbers in the last column of the Betti table in a particular case. An explicit formula for the unique extremal Betti number of the binomial edge ideal of some closed graphs is also given.<\/jats:p>","DOI":"10.1142\/s021819671950067x","type":"journal-article","created":{"date-parts":[[2019,9,20]],"date-time":"2019-09-20T07:21:02Z","timestamp":1568964062000},"page":"125-139","source":"Crossref","is-referenced-by-count":2,"title":["On the Betti numbers of edge ideals of skew Ferrers graphs"],"prefix":"10.1142","volume":"30","author":[{"given":"Do Trong","family":"Hoang","sequence":"first","affiliation":[{"name":"Institute of Mathematics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet, 10307 Hanoi, Vietnam"}]}],"member":"219","published-online":{"date-parts":[[2019,9,19]]},"reference":[{"key":"S021819671950067XBIB001","doi-asserted-by":"publisher","DOI":"10.1016\/0001-8708(81)90027-X"},{"key":"S021819671950067XBIB003","doi-asserted-by":"publisher","DOI":"10.1007\/s00208-010-0616-1"},{"key":"S021819671950067XBIB005","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-08-04636-9"},{"key":"S021819671950067XBIB006","doi-asserted-by":"publisher","DOI":"10.1007\/s10801-012-0391-z"},{"key":"S021819671950067XBIB007","doi-asserted-by":"publisher","DOI":"10.1002\/mana.201700292"},{"key":"S021819671950067XBIB008","doi-asserted-by":"publisher","DOI":"10.1215\/00277630-1431831"},{"key":"S021819671950067XBIB009","doi-asserted-by":"publisher","DOI":"10.1002\/mana.201300186"},{"key":"S021819671950067XBIB010","first-page":"65","volume":"11","author":"Haj\u00f3s G.","year":"1957","journal-title":"Internat. Math. Nachrichten"},{"key":"S021819671950067XBIB011","first-page":"260","volume-title":"Graduate Texts in Mathematics","author":"Herzog J.","year":"2011"},{"key":"S021819671950067XBIB012","doi-asserted-by":"publisher","DOI":"10.1016\/j.aam.2010.01.003"},{"issue":"1","key":"S021819671950067XBIB013","doi-asserted-by":"crossref","first-page":"10","DOI":"10.37236\/7689","volume":"25","author":"Herzog J.","year":"2018","journal-title":"Electron. J. Combin."},{"key":"S021819671950067XBIB014","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcta.2005.04.005"},{"key":"S021819671950067XBIB015","series-title":"Oxford mathematical monographs","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198534891.001.0001","volume-title":"Symmetric Functions and Hall Polynomials","author":"Macdonald I. G.","year":"1995","edition":"2"},{"key":"S021819671950067XBIB016","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2018.08.027"},{"issue":"2","key":"S021819671950067XBIB018","first-page":"59","volume":"16","author":"Nagel U.","year":"2009","journal-title":"Electron. J. Comb."},{"key":"S021819671950067XBIB019","doi-asserted-by":"publisher","DOI":"10.1080\/00927870903527584"},{"key":"S021819671950067XBIB020","volume-title":"Combinatorics and Commutative Algebra","author":"Stanley R.","year":"1996","edition":"2"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S021819671950067X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,23]],"date-time":"2024-07-23T20:07:06Z","timestamp":1721765226000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S021819671950067X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,9,19]]},"references-count":17,"journal-issue":{"issue":"01","published-print":{"date-parts":[[2020,2]]}},"alternative-id":["10.1142\/S021819671950067X"],"URL":"https:\/\/doi.org\/10.1142\/s021819671950067x","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"type":"print","value":"0218-1967"},{"type":"electronic","value":"1793-6500"}],"subject":[],"published":{"date-parts":[[2019,9,19]]}}}