{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:23Z","timestamp":1753893803967,"version":"3.41.2"},"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>We study the intersecting family process initially studied in [Electron.\u00a0J.\u00a0Comb., 10:#R29 (2003)]. Here $k=k(n)$ and $E_1,E_2,\\ldots,E_m$ is a random sequence of $k$-sets from $\\binom{[n]}{k}$ where $E_{r+1}$ is uniformly chosen from those $k$-sets that are not already chosen and that meet $E_i,i=1,2,\\ldots,r$. We prove some new results for the case where $k=cn^{1\/3}$ and for the case where $k\\gg n^{1\/2}$.<\/jats:p>","DOI":"10.37236\/12060","type":"journal-article","created":{"date-parts":[[2024,10,31]],"date-time":"2024-10-31T17:02:24Z","timestamp":1730394144000},"source":"Crossref","is-referenced-by-count":0,"title":["On the Intersecting Family Process"],"prefix":"10.37236","volume":"31","author":[{"given":"Alan","family":"Frieze","sequence":"first","affiliation":[]},{"given":"Patrick","family":"Bennett","sequence":"additional","affiliation":[]},{"given":"Andrew","family":"Newman","sequence":"additional","affiliation":[]},{"given":"Wesley","family":"Pegden","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2024,10,18]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v31i4p15\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v31i4p15\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,10,31]],"date-time":"2024-10-31T17:02:25Z","timestamp":1730394145000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v31i4p15"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,10,18]]},"references-count":0,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2024,10,3]]}},"URL":"https:\/\/doi.org\/10.37236\/12060","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2024,10,18]]},"article-number":"P4.15"}}