{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,30]],"date-time":"2026-04-30T15:42:31Z","timestamp":1777563751815,"version":"3.51.4"},"reference-count":7,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[1986,12,1]],"date-time":"1986-12-01T00:00:00Z","timestamp":533779200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Combinatorica"],"published-print":{"date-parts":[[1986,12]]},"DOI":"10.1007\/bf02579261","type":"journal-article","created":{"date-parts":[[2007,3,22]],"date-time":"2007-03-22T22:20:50Z","timestamp":1174602050000},"page":"355-363","source":"Crossref","is-referenced-by-count":27,"title":["Families of finite sets with minimum shadows"],"prefix":"10.1007","volume":"6","author":[{"given":"Z.","family":"F\u00fcredi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J. R.","family":"Griggs","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"BF02579261_CR1","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1093\/qmath\/12.1.313","volume":"12","author":"P. Erd\u0151s","year":"1961","unstructured":"P. Erd\u0151s, C. Ko andR. Rado, Intersection theorems for systems of finite sets,Quart. J. Math. Oxford (2) 12 (1961), 313\u2013320.","journal-title":"Quart. J. Math. Oxford (2)"},{"key":"BF02579261_CR2","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1016\/0012-365X(84)90193-6","volume":"48","author":"P. Frankl","year":"1984","unstructured":"P. Frankl, A new short proof for the Kruskal\u2014Katona theorem,Discrete Math. 48 (1984), 327\u2013329.","journal-title":"Discrete Math."},{"key":"BF02579261_CR3","unstructured":"G. O. H. Katona, A theorem of finite sets,in: Theory of Graphs. Proc. Colloq. Tihany 1966 (Akad\u00e9miai Kiad\u00f3, 1968), 187\u2013207."},{"key":"BF02579261_CR4","doi-asserted-by":"crossref","unstructured":"J. B. Kruskal, The number of simplices in a complex,in: Math. Opt. Techniques (Univ. of Calif. Press, 1963), 251\u2013278.","DOI":"10.1525\/9780520319875-014"},{"key":"BF02579261_CR5","doi-asserted-by":"crossref","first-page":"166","DOI":"10.2307\/2035248","volume":"18","author":"B. Lindstr\u00f6m","year":"1957","unstructured":"B. Lindstr\u00f6m andM. O. Zetterstr\u00f6m, A combinatorial problem in thek-adic number system,Proc. A. M. S. 18 (1957), 166\u2013170.","journal-title":"Proc. A. M. S."},{"key":"BF02579261_CR6","unstructured":"L. Lov\u00e1sz,Combinatorial Problems and Exercises (Academiai Kiad\u00f3, (Budapest)\u2014North-Holland Publ. (Amsterdam), 1979). Problem 13. 31."},{"key":"BF02579261_CR7","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1007\/BF02582941","volume":"1","author":"M. M\u00f6rs","year":"1985","unstructured":"M. M\u00f6rs, A generalization of a theorem of Kruskal,Graphs and Combinatorics 1 (1985), 167\u2013183.","journal-title":"Graphs and Combinatorics"}],"container-title":["Combinatorica"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02579261.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02579261\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02579261","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,5,11]],"date-time":"2023-05-11T04:25:27Z","timestamp":1683779127000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02579261"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1986,12]]},"references-count":7,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1986,12]]}},"alternative-id":["BF02579261"],"URL":"https:\/\/doi.org\/10.1007\/bf02579261","relation":{},"ISSN":["0209-9683","1439-6912"],"issn-type":[{"value":"0209-9683","type":"print"},{"value":"1439-6912","type":"electronic"}],"subject":[],"published":{"date-parts":[[1986,12]]}}}