{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:43Z","timestamp":1753893823945,"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>Recently,\u00a0Jel\u00ednek derived\u00a0 that the number of self-dual interval orders of reduced size $n$ is twice the number of row-Fishburn matrices of size $n$ by using generating functions. In this paper, we present a bijective proof of this relation by establishing a bijection between two variations of upper-triangular matrices of nonnegative integers. Using the bijection, we provide a combinatorial proof\u00a0 of the refined relations between self-dual Fishburn matrices and row-Fishburn matrices in answer to a problem proposed by Jel\u00ednek.<\/jats:p>","DOI":"10.37236\/2201","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T03:29:33Z","timestamp":1578713373000},"source":"Crossref","is-referenced-by-count":1,"title":["Self-Dual Interval Orders and Row-Fishburn Matrices"],"prefix":"10.37236","volume":"19","author":[{"given":"Sherry H. F.","family":"Yan","sequence":"first","affiliation":[]},{"given":"Yuexiao","family":"Xu","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2012,4,7]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v19i2p5\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v19i2p5\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T22:36:33Z","timestamp":1579300593000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v19i2p5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,4,7]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2012,4,7]]}},"URL":"https:\/\/doi.org\/10.37236\/2201","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2012,4,7]]},"article-number":"P5"}}