{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:03Z","timestamp":1753893783934,"version":"3.41.2"},"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>We study the possibility of the existence of a  Katona type proof for the Erd\u0151s-Ko-Rado theorem for 2- and 3-intersecting families of sets. An Erd\u0151s-Ko-Rado type theorem for 2-intersecting  integer arithmetic progressions and a model theoretic argument show that such an approach works in the 2-intersecting case, at least for some values of $n$ and $k$.<\/jats:p>","DOI":"10.37236\/1575","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T02:06:59Z","timestamp":1578708419000},"source":"Crossref","is-referenced-by-count":3,"title":["Towards a Katona Type Proof for the 2-intersecting Erd\u0151s-Ko-Rado Theorem"],"prefix":"10.37236","volume":"8","author":[{"given":"Ralph","family":"Howard","sequence":"first","affiliation":[]},{"given":"Gyula","family":"K\u00e1rolyi","sequence":"additional","affiliation":[]},{"given":"L\u00e1szl\u00f3 A.","family":"Sz\u00e9kely","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2001,10,9]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v8i1r31\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v8i1r31\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T05:16:50Z","timestamp":1579324610000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v8i1r31"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,10,9]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2001,1,1]]}},"URL":"https:\/\/doi.org\/10.37236\/1575","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2001,10,9]]},"article-number":"R31"}}