{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,23]],"date-time":"2026-02-23T15:53:14Z","timestamp":1771861994923,"version":"3.50.1"},"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>Following [2], we say a family, $H$, of subsets of a $n$-element set is cancellative if $A \\cup B = A \\cup C$ implies $B =C$ when $A, B, C \\in H$.  We show how to construct cancellative families of sets with $c 2^{.54797n}$ elements.  This improves the previous best bound $c 2^{.52832n}$ and falsifies conjectures of Erd\u00f6s and Katona [3] and Bollob\u00e1s [1].<\/jats:p>","DOI":"10.37236\/1239","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T20:26:38Z","timestamp":1578687998000},"source":"Crossref","is-referenced-by-count":11,"title":["A New Construction for Cancellative Families of Sets"],"prefix":"10.37236","volume":"3","author":[{"given":"James B.","family":"Shearer","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[1996,4,20]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v3i1r15\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v3i1r15\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T01:17:30Z","timestamp":1579310250000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v3i1r15"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996,4,20]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[1996,1,1]]}},"URL":"https:\/\/doi.org\/10.37236\/1239","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[1996,4,20]]},"article-number":"R15"}}