{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:44:29Z","timestamp":1753893869488,"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>Frankl and F\u00fcredi conjectured that if ${\\cal F} \\subset 2^{X}$ is a non-trivial $\\lambda$-intersecting family of size $m$, then the number of pairs $\\{x,y\\} \\in \\binom{X}{2}$ that are contained in some $F \\in {\\cal F}$ is at least $\\binom{m}{2}$ [P. Frankl and Z. F\u00fcredi. A Sharpening of Fisher's Inequality. Discrete Math., 90(1):103-107, 1991]. We verify this conjecture in some special cases, focusing especially on the case where ${\\cal F}$ is additionally required to be $k$-uniform and $\\lambda$ is small.<\/jats:p>","DOI":"10.37236\/543","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T22:52:39Z","timestamp":1578696759000},"source":"Crossref","is-referenced-by-count":1,"title":["On a Conjecture of Frankl and F\u00fcredi"],"prefix":"10.37236","volume":"18","author":[{"given":"Ameera","family":"Chowdhury","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2011,3,11]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v18i1p56\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v18i1p56\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T18:15:36Z","timestamp":1579284936000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v18i1p56"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,3,11]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2011,1,5]]}},"URL":"https:\/\/doi.org\/10.37236\/543","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2011,3,11]]},"article-number":"P56"}}