{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:33Z","timestamp":1753893813614,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>Starting from the well-established notion of a separating family (or separating system) and the refinement known as a splitting family, we define and study generalizations called $n$-separating and $n$-splitting families, obtaining lower and upper bounds on their minimum sizes. For $n$-separating families our bounds are asymptotically tight within a linear factor, while for $n$-splitting families we provide partial results and open questions.<\/jats:p>","DOI":"10.37236\/5672","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T20:30:39Z","timestamp":1578688239000},"source":"Crossref","is-referenced-by-count":0,"title":["On Generalizations of Separating and Splitting Families"],"prefix":"10.37236","volume":"23","author":[{"given":"Daniel","family":"Condon","sequence":"first","affiliation":[]},{"given":"Samuel","family":"Coskey","sequence":"additional","affiliation":[]},{"given":"Luke","family":"Serafin","sequence":"additional","affiliation":[]},{"given":"Cody","family":"Stockdale","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2016,8,19]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v23i3p36\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v23i3p36\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T05:17:14Z","timestamp":1579238234000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v23i3p36"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,8,19]]},"references-count":0,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2016,7,8]]}},"URL":"https:\/\/doi.org\/10.37236\/5672","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2016,8,19]]},"article-number":"P3.36"}}