{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,15]],"date-time":"2026-04-15T19:12:19Z","timestamp":1776280339372,"version":"3.50.1"},"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>In this paper, we study the generating function for the number of set partitions of $[n]$ represented as bargraphs according to the perimeter\/site-perimeter. In particular, we find explicit formulas\u00a0 for the total perimeter and the total site-perimeter over all set partitions of $[n]$.<\/jats:p>","DOI":"10.37236\/8250","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T07:13:41Z","timestamp":1578640421000},"source":"Crossref","is-referenced-by-count":3,"title":["The Perimeter and Site-Perimeter of Set Partitions"],"prefix":"10.37236","volume":"26","author":[{"given":"Toufik","family":"Mansour","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2019,5,31]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v26i2p30\/7844","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v26i2p30\/7844","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T04:12:23Z","timestamp":1579234343000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v26i2p30"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,5,31]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2019,4,5]]}},"URL":"https:\/\/doi.org\/10.37236\/8250","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,5,31]]},"article-number":"P2.30"}}