{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T22:09:19Z","timestamp":1775081359937,"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>Exceptional sequences are certain sequences of quiver representations.\u00a0 We introduce a class of objects called strand diagrams and use these to classify exceptional sequences of representations of a quiver whose underlying graph is a type $\\mathbb{A}_n$ Dynkin diagram. We also use variations of these objects to classify $c$-matrices of such quivers, to interpret exceptional sequences as linear extensions of explicitly constructed posets, and to give a simple bijection between exceptional sequences and certain saturated chains in the lattice of noncrossing partitions.\u00a0<\/jats:p>","DOI":"10.37236\/6251","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T07:15:55Z","timestamp":1578640555000},"source":"Crossref","is-referenced-by-count":3,"title":["Combinatorics of Exceptional Sequences in Type A"],"prefix":"10.37236","volume":"26","author":[{"given":"Alexander","family":"Garver","sequence":"first","affiliation":[]},{"given":"Kiyoshi","family":"Igusa","sequence":"additional","affiliation":[]},{"given":"Jacob P.","family":"Matherne","sequence":"additional","affiliation":[]},{"given":"Jonah","family":"Ostroff","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2019,2,8]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v26i1p20\/7778","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v26i1p20\/7778","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T04:18:30Z","timestamp":1579234710000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v26i1p20"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,2,8]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2019,1,11]]}},"URL":"https:\/\/doi.org\/10.37236\/6251","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,2,8]]},"article-number":"P1.20"}}