{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:25Z","timestamp":1753893805817,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>We show that five nonnegativity properties of polynomials coincide when restricted to polynomials of the form  $x_{1,\\pi(1)}\\cdots x_{n,\\pi(n)} - x_{1,\\sigma(1)}\\cdots x_{n,\\sigma(n)}$,  where $\\pi$ and $\\sigma$ are permutations in $S_n$. In particular, we show that each of these properties may be used to  characterize the Bruhat order on $S_n$.<\/jats:p>","DOI":"10.37236\/1875","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T00:17:56Z","timestamp":1578701876000},"source":"Crossref","is-referenced-by-count":3,"title":["Monomial Nonnegativity and the Bruhat Order"],"prefix":"10.37236","volume":"11","author":[{"given":"Brian","family":"Drake","sequence":"first","affiliation":[]},{"given":"Sean","family":"Gerrish","sequence":"additional","affiliation":[]},{"given":"Mark","family":"Skandera","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2005,6,3]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v11i2r18\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v11i2r18\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T23:49:35Z","timestamp":1579304975000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v11i2r18"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,6,3]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2004,6,3]]}},"URL":"https:\/\/doi.org\/10.37236\/1875","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2005,6,3]]},"article-number":"R18"}}