{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,6]],"date-time":"2026-04-06T09:11:18Z","timestamp":1775466678500,"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 present a formula which relates the Kazhdan\u2013Lusztig polynomial of a matroid $M$, as defined by Elias, Proudfoot and Wakefield, to the Kazhdan\u2013Lusztig polynomials of the matroid\u00a0 obtained by deleting an element, and various contractions and localizations of $M$. \u00a0 We give a number of applications of our formula to Kazhdan\u2013Lusztig polynomials of graphic matroids, including a simple formula for the Kazhdan\u2013Lusztig polynomial of a parallel connection graph.<\/jats:p>","DOI":"10.37236\/9026","type":"journal-article","created":{"date-parts":[[2020,1,24]],"date-time":"2020-01-24T04:18:14Z","timestamp":1579839494000},"source":"Crossref","is-referenced-by-count":5,"title":["Kazhdan-Lusztig Polynomials of Matroids Under Deletion"],"prefix":"10.37236","volume":"27","author":[{"given":"Tom","family":"Braden","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Artem","family":"Vysogorets","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"23455","published-online":{"date-parts":[[2020,1,24]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v27i1p17\/8002","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v27i1p17\/8002","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,2,12]],"date-time":"2020-02-12T16:47:06Z","timestamp":1581526026000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v27i1p17"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,1,24]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2020,1,9]]}},"URL":"https:\/\/doi.org\/10.37236\/9026","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,1,24]]},"article-number":"P1.17"}}