{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,21]],"date-time":"2023-10-21T06:10:10Z","timestamp":1697868610960},"reference-count":8,"publisher":"Wiley","issue":"4","license":[{"start":{"date-parts":[[2006,10,3]],"date-time":"2006-10-03T00:00:00Z","timestamp":1159833600000},"content-version":"vor","delay-in-days":8342,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Graph Theory"],"published-print":{"date-parts":[[1983,12]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>The Ramsey number <jats:italic>r(G, H)<\/jats:italic> is evaluated exactly in certain cases in which both <jats:italic>G<\/jats:italic> and <jats:italic>H<\/jats:italic> are complete multipartite graphs <jats:italic>K(n,<jats:sub>1<\/jats:sub>, n<jats:sub>2<\/jats:sub>, \u2026. n<jats:sub>k<\/jats:sub>)<\/jats:italic>. Specifically, each of the following cases is handled whenever <jats:italic>n<\/jats:italic> is sufficiently large: <jats:italic>r(K(1, m<jats:sub>1<\/jats:sub>, \u2026. m<jats:sub>k<\/jats:sub>), K(1, n)), r(K(1, m), K(n<jats:sub>1<\/jats:sub>, \u2026. n<jats:sub>k<\/jats:sub>, n))<\/jats:italic>, provided <jats:italic>m \u2267 4, and r(K(1, 1, m), K(n<jats:sub>k<\/jats:sub>, \u2026, n<jats:sub>k<\/jats:sub>, n))<\/jats:italic>.<\/jats:p>","DOI":"10.1002\/jgt.3190070404","type":"journal-article","created":{"date-parts":[[2007,5,29]],"date-time":"2007-05-29T07:03:50Z","timestamp":1180422230000},"page":"395-409","source":"Crossref","is-referenced-by-count":8,"title":["On Ramsey numbers involving starlike multipartite graphs"],"prefix":"10.1002","volume":"7","author":[{"given":"S. A.","family":"Burr","sequence":"first","affiliation":[]},{"given":"R. J.","family":"Faudree","sequence":"additional","affiliation":[]},{"given":"C. C.","family":"Rousseau","sequence":"additional","affiliation":[]},{"given":"R. H.","family":"Schelp","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2006,10,3]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1112\/jlms\/s2-24.3.405"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1002\/jgt.3190070106"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.2140\/pjm.1972.41.335"},{"key":"e_1_2_1_5_2","article-title":"Multipartite graph\u2010sparse graph Ramsey numbers","author":"Erd\u00f6s P.","journal-title":"Combinatorica"},{"key":"e_1_2_1_6_2","first-page":"251","article-title":"Regul\u00e4re Graphen Gegebener Teillenweite mit Minimaler Knotenzahl","volume":"12","author":"Erd\u00f6s R.","year":"1963","journal-title":"Wiss. Z. Univ. Halle Math. Nat."},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.21236\/AD0705364"},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0067364"},{"key":"e_1_2_1_9_2","doi-asserted-by":"publisher","DOI":"10.2307\/1997368"}],"container-title":["Journal of Graph Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fjgt.3190070404","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/jgt.3190070404","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,20]],"date-time":"2023-10-20T09:22:00Z","timestamp":1697793720000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/jgt.3190070404"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1983,12]]},"references-count":8,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1983,12]]}},"alternative-id":["10.1002\/jgt.3190070404"],"URL":"https:\/\/doi.org\/10.1002\/jgt.3190070404","archive":["Portico"],"relation":{},"ISSN":["0364-9024","1097-0118"],"issn-type":[{"value":"0364-9024","type":"print"},{"value":"1097-0118","type":"electronic"}],"subject":[],"published":{"date-parts":[[1983,12]]}}}