{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,8]],"date-time":"2025-09-08T06:41:43Z","timestamp":1757313703540,"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>In this paper, we introduce a method of constructing Universal Cycles on sets by taking \"sums\" and \"products\" of smaller cycles. We demonstrate this new approach by proving that if there exist Universal Cycles on the 4-subsets of [18] and the 4-subsets of [26], then for any integer $n\\ge18$ equivalent to $2 \\pmod{8}$, there exists a Universal Cycle on the 4-subsets of [n].<\/jats:p>","DOI":"10.37236\/2852","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T05:13:08Z","timestamp":1578719588000},"source":"Crossref","is-referenced-by-count":2,"title":["An Inductive Approach to Constructing Universal Cycles on the k-Subsets of [n]"],"prefix":"10.37236","volume":"20","author":[{"given":"Yevgeniy","family":"Rudoy","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2013,4,24]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v20i2p18\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v20i2p18\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T11:21:09Z","timestamp":1579260069000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v20i2p18"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,4,24]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2013,4,9]]}},"URL":"https:\/\/doi.org\/10.37236\/2852","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2013,4,24]]},"article-number":"P18"}}