{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,23]],"date-time":"2023-10-23T06:41:05Z","timestamp":1698043265768},"reference-count":14,"publisher":"Wiley","issue":"4","license":[{"start":{"date-parts":[[2006,10,11]],"date-time":"2006-10-11T00:00:00Z","timestamp":1160524800000},"content-version":"vor","delay-in-days":5793,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Random Struct Algorithms"],"published-print":{"date-parts":[[1990,12]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>For <jats:italic>d<\/jats:italic> \u2265 1, <jats:italic>a d<\/jats:italic>\u2010clique in a graph <jats:italic>G<\/jats:italic> is a complete <jats:italic>d<\/jats:italic>\u2010vertex subgraph not contained in any larger complete subgraph of <jats:italic>G.<\/jats:italic> We investigate the limit distribution of the number of <jats:italic>d<\/jats:italic>\u2010cliques in the binomial random graph <jats:italic>G<\/jats:italic>(<jats:italic>n, p<\/jats:italic>), <jats:italic>p<\/jats:italic> = <jats:italic>p<\/jats:italic>(<jats:italic>n<\/jats:italic>), <jats:italic>n<\/jats:italic>\u2192\u221e.<\/jats:p>","DOI":"10.1002\/rsa.3240010403","type":"journal-article","created":{"date-parts":[[2007,5,31]],"date-time":"2007-05-31T08:20:17Z","timestamp":1180599617000},"page":"403-434","source":"Crossref","is-referenced-by-count":10,"title":["Small cliques in random graphs"],"prefix":"10.1002","volume":"1","author":[{"given":"A. D.","family":"Barbour","sequence":"first","affiliation":[]},{"given":"Svante","family":"Janson","sequence":"additional","affiliation":[]},{"given":"Michal","family":"Karo\u0144ski","sequence":"additional","affiliation":[]},{"given":"Andrzej","family":"Ruci\u0144ski","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2006,10,11]]},"reference":[{"key":"e_1_2_1_2_2","unstructured":"A. D.Barbour L.Holst andS.Janson Poisson Approximation(in preparation)."},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/0095-8956(89)90014-2"},{"key":"e_1_2_1_4_2","volume-title":"Convergence of Probability Measures","author":"Billingsley P.","year":"1968"},{"key":"e_1_2_1_5_2","first-page":"17","article-title":"On the evolution of random graphs","volume":"5","author":"Erd\u00f6s P.","year":"1960","journal-title":"Magyar Tud. Akad. Mat. Kut. Int. K\u00f6zl."},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.1002\/jgt.3190070405"},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-02514-7"},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.1002\/rsa.3240010103"},{"key":"e_1_2_1_9_2","unstructured":"S.Janson Orthogonal decompositions and functional limit theorems for random graph statistics(in preparation)."},{"key":"e_1_2_1_10_2","unstructured":"S.JansonandK.Nowicki The asymptotic distribution of generalized U\u2010statistics with applications to random graphs Tech. Rep.1988:11 University of Lund."},{"key":"e_1_2_1_11_2","unstructured":"J. G.Kalbfleisch Complete subgraphs of random hypergraphs and bipartite graphs Proc. 3rd S\u2010E Conf. on Combinatorics Graph Theory and Computing (1972)."},{"key":"e_1_2_1_12_2","volume-title":"Random Graphs \u203287 (Proceedings, Pozna\u0144","author":"Kordecki W.","year":"1987"},{"key":"e_1_2_1_13_2","volume-title":"Stochastic Integration","author":"Protter P.","year":"1990"},{"key":"e_1_2_1_14_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00718031"},{"key":"e_1_2_1_15_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02018372"}],"container-title":["Random Structures &amp; Algorithms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Frsa.3240010403","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/rsa.3240010403","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,22]],"date-time":"2023-10-22T18:57:15Z","timestamp":1698001035000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/rsa.3240010403"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1990,12]]},"references-count":14,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1990,12]]}},"alternative-id":["10.1002\/rsa.3240010403"],"URL":"https:\/\/doi.org\/10.1002\/rsa.3240010403","archive":["Portico"],"relation":{},"ISSN":["1042-9832","1098-2418"],"issn-type":[{"value":"1042-9832","type":"print"},{"value":"1098-2418","type":"electronic"}],"subject":[],"published":{"date-parts":[[1990,12]]}}}