{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,24]],"date-time":"2026-03-24T16:26:26Z","timestamp":1774369586527,"version":"3.50.1"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>A linear chord diagram of size $n$ is a partition of the set $\\{1,2,\\dots,2n\\}$ into sets of size two, called chords.\u00a0From a table showing the number of linear chord diagrams of degree $n$ such that every chord has length at least $k$,\u00a0we observe that if we proceed far enough along the diagonals, they are given by a geometric sequence.\u00a0We prove that this holds for all diagonals, and identify when the effect starts.<\/jats:p>","DOI":"10.37236\/6809","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T15:44:24Z","timestamp":1578671064000},"source":"Crossref","is-referenced-by-count":2,"title":["Linear Chord Diagrams with Long Chords"],"prefix":"10.37236","volume":"24","author":[{"given":"Everett","family":"Sullivan","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2017,10,20]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v24i4p20\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v24i4p20\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T04:44:47Z","timestamp":1579236287000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v24i4p20"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,10,20]]},"references-count":0,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2017,10,5]]}},"URL":"https:\/\/doi.org\/10.37236\/6809","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,10,20]]},"article-number":"P4.20"}}