{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,25]],"date-time":"2025-09-25T18:21:26Z","timestamp":1758824486578},"reference-count":13,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[1993,12,1]],"date-time":"1993-12-01T00:00:00Z","timestamp":754704000000},"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":[[1993,12]]},"DOI":"10.1007\/bf01303513","type":"journal-article","created":{"date-parts":[[2005,3,25]],"date-time":"2005-03-25T08:01:50Z","timestamp":1111737710000},"page":"413-420","source":"Crossref","is-referenced-by-count":1,"title":["Weight functions on the Kneser graph and the solution of an intersection problem of Sali"],"prefix":"10.1007","volume":"13","author":[{"given":"Peter","family":"Frankl","sequence":"first","affiliation":[]},{"given":"Norihide","family":"Tokushige","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"CR1","unstructured":"B. Bollob\ufffds:Combinatorics, Cambridge Univ. Press, 1986."},{"key":"CR2","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1093\/qmath\/12.1.313","volume":"12","author":"P. Erd?s","year":"1961","unstructured":"P. Erd?s, C. Ko, R. Rado: Intersection theorems for systems of finite sets,Quart. J. Math. Oxford (2) 12 (1961) 313?320.","journal-title":"Quart. J. Math. Oxford (2)"},{"key":"CR3","unstructured":"P. Frankl An Erd?s-Ko-Rado theorem for direct products,European J. of Combinatorics, to appear."},{"key":"CR4","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1016\/0012-365X(92)90682-6","volume":"108","author":"P. Frankl","year":"1992","unstructured":"P. Frankl: On cross-intersecting families,Discrete Math.,108, (1992) 291?295.","journal-title":"Discrete Math."},{"key":"CR5","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1016\/S0021-9800(66)80059-5","volume":"1","author":"L. H. Harper","year":"1966","unstructured":"L. H. Harper: Optimal numberings and isoperimetric problems on graphs,J. Comb. Theory 1 (1966) 385?393.","journal-title":"J. Comb. Theory"},{"key":"CR6","unstructured":"G. O. H. Katona: A theorem of finite sets, in:Theory of Graphs, Proc. Colloq. Tihany, 1966 (Akad\ufffdmiai Kiad\ufffd, 1968) 187?207."},{"key":"CR7","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1007\/BF01897141","volume":"15","author":"G. O. H. Katona","year":"1964","unstructured":"G. O. H. Katona: Intersection theorems for systems of finite sets,Acta Math. Acad. Sci. Hung. 15 (1964) 329?337.","journal-title":"Acta Math. Acad. Sci. Hung."},{"key":"CR8","series-title":"Math. Centre Tracts","first-page":"13","volume-title":"Combinatorics, Part II","author":"G. O. H. Katona","year":"1974","unstructured":"G. O. H. Katona: Extremal problems for hypergraphs, in: ?Combinatorics, Part II? (eds. M. Hall and J. H. van Lint) Math. Centre Tracts 56:13?42, Mathematisch Centre, Amsterdam, 1974."},{"key":"CR9","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?278.","DOI":"10.1525\/9780520319875-014"},{"key":"CR10","unstructured":"L. Lov\ufffdsz: Problem 13.31, in:Combinatorial Problems and Exercises, North Holland, 1979."},{"key":"CR11","doi-asserted-by":"crossref","first-page":"90","DOI":"10.1016\/0097-3165(89)90065-4","volume":"22","author":"M. Matsumoto","year":"1989","unstructured":"M. Matsumoto, N. Tokushige: The exact bound in the Erd?s-Ko-Rado theorem for cross-intersecting families.J. Comb. Theory A 22 (1989) 90?97.","journal-title":"J. Comb. Theory A"},{"key":"CR12","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1007\/BF01788667","volume":"5","author":"M. Matsumoto","year":"1989","unstructured":"M. Matsumoto, N. Tokushige: A generalization of the Katona theorem for crosst-intersecting families.Graphs and Combinatorics 5 (1989) 159?171.","journal-title":"Graphs and Combinatorics"},{"key":"CR13","doi-asserted-by":"crossref","first-page":"351","DOI":"10.1007\/BF01285823","volume":"12","author":"A. Sali","year":"1992","unstructured":"A. Sali: Some intersection theorems.Combinatorica 12 (1992) 351?361.","journal-title":"Combinatorica"}],"container-title":["Combinatorica"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01303513.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01303513\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01303513","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,7,7]],"date-time":"2021-07-07T10:22:40Z","timestamp":1625653360000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF01303513"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1993,12]]},"references-count":13,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1993,12]]}},"alternative-id":["BF01303513"],"URL":"https:\/\/doi.org\/10.1007\/bf01303513","relation":{},"ISSN":["0209-9683","1439-6912"],"issn-type":[{"value":"0209-9683","type":"print"},{"value":"1439-6912","type":"electronic"}],"subject":[],"published":{"date-parts":[[1993,12]]}}}