{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,28]],"date-time":"2025-09-28T12:44:05Z","timestamp":1759063445235},"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>We consider random graphs <jats:italic>G<jats:sub>n,p<\/jats:sub><\/jats:italic> with fixed edge\u2010probability <jats:italic>p.<\/jats:italic> We refine an argument of Bollob\u00e1s to show that almost all such graphs have chromatic number equal to <jats:italic>n<\/jats:italic>\/{2 log<jats:sub><jats:italic>b<\/jats:italic><\/jats:sub> <jats:italic>n<\/jats:italic> \u2212 2 log<jats:sub><jats:italic>b<\/jats:italic><\/jats:sub> log<jats:sub><jats:italic>b<\/jats:italic><\/jats:sub> <jats:italic>n<\/jats:italic> + <jats:italic>O<\/jats:italic>(1)} where <jats:italic>b<\/jats:italic> = 1\/(1 \u2212 <jats:italic>p<\/jats:italic>).<\/jats:p>","DOI":"10.1002\/rsa.3240010404","type":"journal-article","created":{"date-parts":[[2007,5,31]],"date-time":"2007-05-31T08:20:09Z","timestamp":1180599609000},"page":"435-442","source":"Crossref","is-referenced-by-count":21,"title":["On the chromatic number of random graphs"],"prefix":"10.1002","volume":"1","author":[{"given":"Colin","family":"McDiarmid","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,10,11]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.2748\/tmj\/1178243286"},{"key":"e_1_2_1_3_2","volume-title":"Random Graphs","author":"Bollob\u00e1s B.","year":"1985"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02122551"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1017\/S0305004100051124"},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.1963.10500830"},{"key":"e_1_2_1_7_2","volume-title":"Random Graphs\u203287","author":"Ku\u010dera L.","year":"1990"},{"key":"e_1_2_1_8_2","article-title":"A note on the sharp concentration of the chromatic number of random graphs","author":"\u0141uczak T.","journal-title":"Combinatorica"},{"key":"e_1_2_1_9_2","article-title":"The chromatic number of random graphs","author":"\u0141uczak T.","journal-title":"Combinatorica"},{"key":"e_1_2_1_10_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02122682"},{"key":"e_1_2_1_11_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02579304"},{"key":"e_1_2_1_12_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01874388"},{"key":"e_1_2_1_13_2","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781107359949.008"},{"key":"e_1_2_1_14_2","volume-title":"Graph Colourings","author":"McDiarmid C. J. H.","year":"1990"},{"key":"e_1_2_1_15_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02579208"}],"container-title":["Random Structures &amp; Algorithms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Frsa.3240010404","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/rsa.3240010404","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,22]],"date-time":"2023-10-22T18:57:18Z","timestamp":1698001038000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/rsa.3240010404"}},"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.3240010404"],"URL":"https:\/\/doi.org\/10.1002\/rsa.3240010404","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]]}}}