{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,29]],"date-time":"2025-08-29T09:54:28Z","timestamp":1756461268623,"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>Let ${\\cal F}$ be a set of blocks of a $t$-set $X$. A pair $(X,{\\cal F})$ is called an $(w,r)$-cover-free family ($(w,r)-$CFF) provided that, the intersection of any $w$ blocks in ${\\cal F}$ is not contained in the union of any other $r$ blocks in ${\\cal F}$.We give new asymptotic lower bounds for the number of minimum points $t$ in a $(w,r)$-CFF when $w\\le r=|{\\cal F}|^\\epsilon$ for some constant $\\epsilon\\ge 1\/2$.\u00a0<\/jats:p>","DOI":"10.37236\/5202","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T16:01:00Z","timestamp":1578672060000},"source":"Crossref","is-referenced-by-count":2,"title":["Lower Bounds for Cover-Free Families"],"prefix":"10.37236","volume":"23","author":[{"given":"Ali Z.","family":"Abdi","sequence":"first","affiliation":[]},{"given":"Nader H.","family":"Bshouty","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2016,6,10]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v23i2p45\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v23i2p45\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T00:27:54Z","timestamp":1579220874000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v23i2p45"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,6,10]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2016,3,31]]}},"URL":"https:\/\/doi.org\/10.37236\/5202","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2016,6,10]]},"article-number":"P2.45"}}