{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,18]],"date-time":"2026-05-18T13:14:36Z","timestamp":1779110076030,"version":"3.51.4"},"reference-count":12,"publisher":"Elsevier BV","issue":"1-3","license":[{"start":{"date-parts":[[1995,3,1]],"date-time":"1995-03-01T00:00:00Z","timestamp":794016000000},"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":6713,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Mathematics"],"published-print":{"date-parts":[[1995,3]]},"DOI":"10.1016\/0012-365x(94)00187-n","type":"journal-article","created":{"date-parts":[[2003,4,7]],"date-time":"2003-04-07T17:25:26Z","timestamp":1049736326000},"page":"43-56","source":"Crossref","is-referenced-by-count":12,"title":["The vapnik-chervonenkis dimension of a random graph"],"prefix":"10.1016","volume":"138","author":[{"given":"Martin","family":"Anthony","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Graham","family":"Brightwell","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Colin","family":"Cooper","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/0012-365X(94)00187-N_BIB1","series-title":"The Probabilistic Method","author":"Alon","year":"1992"},{"key":"10.1016\/0012-365X(94)00187-N_BIB2","series-title":"Computational Learning Theory: An Introduction","author":"Anthony","year":"1992"},{"key":"10.1016\/0012-365X(94)00187-N_BIB3","series-title":"COLT'92, Proc. 5th Ann. Workshop on Computational Learning Theory","article-title":"On exact specification by examples","author":"Anthony","year":"1992"},{"key":"10.1016\/0012-365X(94)00187-N_BIB4","doi-asserted-by":"crossref","unstructured":"M. Anthony, G. Brightwell and J. Shawe-Taylor, On specifying Boolean functions by labelled examples, Discrete Appl. Math., to appear.","DOI":"10.1016\/0166-218X(94)00007-Z"},{"key":"10.1016\/0012-365X(94)00187-N_BIB5","doi-asserted-by":"crossref","first-page":"929","DOI":"10.1145\/76359.76371","article-title":"Learnability and the Vapnik-Chervonenkis dimension","volume":"36","author":"Blumer","year":"1989","journal-title":"J. ACM"},{"key":"10.1016\/0012-365X(94)00187-N_BIB6","series-title":"Random Graphs","author":"Bollob\u00e1s","year":"1985"},{"key":"10.1016\/0012-365X(94)00187-N_BIB7","series-title":"Combinatories","author":"Bollob\u00e1s","year":"1986"},{"key":"10.1016\/0012-365X(94)00187-N_BIB8","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1007\/BF02187876","article-title":"Epsilon-nets and simplex range queries","volume":"2","author":"Haussler","year":"1987","journal-title":"Discrete Comput. Geometry"},{"key":"10.1016\/0012-365X(94)00187-N_BIB9","series-title":"Convergence of Stochastic Processes","author":"Pollard","year":"1984"},{"key":"10.1016\/0012-365X(94)00187-N_BIB10","article-title":"Testing geometric objects","author":"Romanik","year":"1990"},{"key":"10.1016\/0012-365X(94)00187-N_BIB11","series-title":"Estimation of Dependences Based on Empirical Data","author":"Vapnik","year":"1982"},{"issue":"2","key":"10.1016\/0012-365X(94)00187-N_BIB12","doi-asserted-by":"crossref","first-page":"264","DOI":"10.1137\/1116025","article-title":"On the uniform convergence of relative frequencies of events to their probabilities","volume":"16","author":"Vapnik","year":"1971","journal-title":"Theory Probab. Appl."}],"container-title":["Discrete Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0012365X9400187N?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0012365X9400187N?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,24]],"date-time":"2019-04-24T18:21:53Z","timestamp":1556130113000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0012365X9400187N"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1995,3]]},"references-count":12,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[1995,3]]}},"alternative-id":["0012365X9400187N"],"URL":"https:\/\/doi.org\/10.1016\/0012-365x(94)00187-n","relation":{},"ISSN":["0012-365X"],"issn-type":[{"value":"0012-365X","type":"print"}],"subject":[],"published":{"date-parts":[[1995,3]]}}}