{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,1,13]],"date-time":"2023-01-13T20:27:08Z","timestamp":1673641628183},"reference-count":10,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[1980,1,1]],"date-time":"1980-01-01T00:00:00Z","timestamp":315532800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":12251,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Combinatorial Theory, Series A"],"published-print":{"date-parts":[[1980,1]]},"DOI":"10.1016\/0097-3165(80)90058-8","type":"journal-article","created":{"date-parts":[[2005,2,10]],"date-time":"2005-02-10T04:49:18Z","timestamp":1108010958000},"page":"54-63","source":"Crossref","is-referenced-by-count":13,"title":["On Sperner families in which no K sets have an empty intersection"],"prefix":"10.1016","volume":"28","author":[{"given":"Hans-Dietrich O.F","family":"Gronau","sequence":"first","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/0097-3165(80)90058-8_BIB1","series-title":"Proceedings, Combinatorics Conference","first-page":"18","article-title":"Sperner type theorems for finite sets","author":"Brace","year":"1972"},{"key":"10.1016\/0097-3165(80)90058-8_BIB2","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1016\/0012-365X(73)90074-5","article-title":"A minimization problem concerning subsets","volume":"4","author":"Clements","year":"1973","journal-title":"Discrete Math."},{"key":"10.1016\/0097-3165(80)90058-8_BIB3","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1016\/0097-3165(74)90011-9","article-title":"Existence theorems for Sperner families","volume":"17","author":"Daykin","year":"1974","journal-title":"J. Combinatorial Theory Ser. A"},{"key":"10.1016\/0097-3165(80)90058-8_BIB4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0097-3165(76)90073-X","article-title":"On Sperner families satisfying an additional condition","volume":"20","author":"Frankl","year":"1976","journal-title":"J. Combinatorial Theory Ser. A"},{"key":"10.1016\/0097-3165(80)90058-8_BIB5","first-page":"213","article-title":"On Sperner families in which no 3 sets have an empty intersection","volume":"4","author":"Gronau","year":"1978","journal-title":"Acta Cybernetica"},{"key":"10.1016\/0097-3165(80)90058-8_BIB6","doi-asserted-by":"crossref","first-page":"202","DOI":"10.1016\/0097-3165(79)90073-6","article-title":"Some results on Sperner families","volume":"26","author":"Greene","year":"1979","journal-title":"J. Combinatorial Theory Ser. A"},{"key":"10.1016\/0097-3165(80)90058-8_BIB7","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1007\/BF01897141","article-title":"Intersection theorems for systems of finite sets","volume":"15","author":"Katona","year":"1964","journal-title":"Acta Math. Acad. Sci. Hungar."},{"key":"10.1016\/0097-3165(80)90058-8_BIB8","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1016\/S0021-9800(66)80035-2","article-title":"A short proof of Sperner's lemma","volume":"1","author":"Lubell","year":"1966","journal-title":"J. Combinatorial Theory"},{"key":"10.1016\/0097-3165(80)90058-8_BIB9","doi-asserted-by":"crossref","first-page":"204","DOI":"10.1112\/jlms\/s1-43.1.204","article-title":"A combinatorial theorem on systems of sets","volume":"43","author":"Milner","year":"1968","journal-title":"J. London Math. Soc."},{"key":"10.1016\/0097-3165(80)90058-8_BIB10","doi-asserted-by":"crossref","first-page":"544","DOI":"10.1007\/BF01171114","article-title":"Ein Satz \u00fcber Untermengen einer endlichen Menge","volume":"27","author":"Sperner","year":"1928","journal-title":"Math. Z."}],"container-title":["Journal of Combinatorial Theory, Series A"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0097316580900588?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0097316580900588?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,1,29]],"date-time":"2019-01-29T08:58:23Z","timestamp":1548752303000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0097316580900588"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1980,1]]},"references-count":10,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1980,1]]}},"alternative-id":["0097316580900588"],"URL":"https:\/\/doi.org\/10.1016\/0097-3165(80)90058-8","relation":{},"ISSN":["0097-3165"],"issn-type":[{"value":"0097-3165","type":"print"}],"subject":[],"published":{"date-parts":[[1980,1]]}}}