{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,22]],"date-time":"2026-01-22T05:17:08Z","timestamp":1769059028369,"version":"3.49.0"},"reference-count":10,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[1991,12,1]],"date-time":"1991-12-01T00:00:00Z","timestamp":691545600000},"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":[[1991,12]]},"DOI":"10.1007\/bf01275667","type":"journal-article","created":{"date-parts":[[2005,3,24]],"date-time":"2005-03-24T08:07:14Z","timestamp":1111651634000},"page":"299-314","source":"Crossref","is-referenced-by-count":105,"title":["Edge-isoperimetric inequalities in the grid"],"prefix":"10.1007","volume":"11","author":[{"given":"B\ufffdla","family":"Bollob\ufffds","sequence":"first","affiliation":[]},{"given":"Imre","family":"Leader","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"CR1","doi-asserted-by":"crossref","first-page":"1485","DOI":"10.1137\/0115129","volume":"15","author":"A. J. Bernstein","year":"1967","unstructured":"Bernstein, A. J.: Maximally connected arrays on then-cube,SIAM J. Appl. Math. 15 (1967), 1485?1489.","journal-title":"SIAM J. Appl. Math."},{"key":"CR2","unstructured":"Bollob\u00e1s, B.:Combinatorics, Cambridge University Press, 1986, xii+177 pp."},{"key":"CR3","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1016\/0097-3165(91)90021-8","volume":"56","author":"B. Bollob\u00e1s","year":"1991","unstructured":"Bollob\u00e1s, B., andLeader, I.: Compressions and isoperimetric inequalities,J. Combinatorial Theory (A),56 (1991), 47?62.","journal-title":"J. Combinatorial Theory (A)"},{"key":"CR4","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1090\/S0002-9939-1971-0270923-7","volume":"27","author":"G. F. Clements","year":"1971","unstructured":"Clements, G. F.: Sets of lattice points which contain a maximal number of edges,Proc. Amer. Math. Soc. 27 (1971), 13?15.","journal-title":"Proc. Amer. Math. Soc."},{"key":"CR5","unstructured":"Frankl, P. The shifting technique in extremal set theory, inSurveys in Combinatorics 1987 (Whitehead, C., ed.), London Math. Soc. Lecture Note Series 123, Cambridge University Press, 1987, pp. 81?110."},{"key":"CR6","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1137\/0112012","volume":"12","author":"L. H. Harper","year":"1964","unstructured":"Harper, L. H.: Optimal assignments of numbers to vertices,SIAM J. Appl. Math. 12 (1964), 131?135.","journal-title":"SIAM J. Appl. Math."},{"key":"CR7","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1016\/0012-365X(76)90058-3","volume":"14","author":"S. Hart","year":"1976","unstructured":"Hart, S. A note on the edges of then-cube,Discrete Math. 14 (1976), 157?163.","journal-title":"Discrete Math."},{"key":"CR8","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1002\/sapm1971502115","volume":"50","author":"D. J. Kleitman","year":"1971","unstructured":"Kleitman, D. J., Krieger, M. M., andRothschild, B. L.: Configurations maximizing the number of pairs of Hamming-adjacent lattice points.Studies in Appl. Math. 50 (1971), 115?119.","journal-title":"Studies in Appl. Math."},{"key":"CR9","doi-asserted-by":"crossref","first-page":"508","DOI":"10.1080\/00029890.1964.11992272","volume":"71","author":"J. H. Lindsey","year":"1964","unstructured":"Lindsey, J. H.: Assignment of numbers to vertices,Amer. Math. Monthly 71 (1964), 508?516.","journal-title":"Amer. Math. Monthly"},{"key":"CR10","doi-asserted-by":"crossref","first-page":"860","DOI":"10.1137\/0132073","volume":"32","author":"D.-L. Wang","year":"1977","unstructured":"Wang, D.-L., andWang, P.: Discrete isoperimetric problems,SIAM J. Appl. Math 32 (1977), 860?870.","journal-title":"SIAM J. Appl. Math"}],"container-title":["Combinatorica"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01275667.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01275667\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01275667","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,30]],"date-time":"2019-04-30T18:15:09Z","timestamp":1556648109000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF01275667"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1991,12]]},"references-count":10,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1991,12]]}},"alternative-id":["BF01275667"],"URL":"https:\/\/doi.org\/10.1007\/bf01275667","relation":{},"ISSN":["0209-9683","1439-6912"],"issn-type":[{"value":"0209-9683","type":"print"},{"value":"1439-6912","type":"electronic"}],"subject":[],"published":{"date-parts":[[1991,12]]}}}