{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,2]],"date-time":"2026-04-02T01:33:52Z","timestamp":1775093632909,"version":"3.50.1"},"reference-count":11,"publisher":"Wiley","issue":"2","license":[{"start":{"date-parts":[[2006,10,4]],"date-time":"2006-10-04T00:00:00Z","timestamp":1159920000000},"content-version":"vor","delay-in-days":7065,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Graph Theory"],"published-print":{"date-parts":[[1987,6]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>A graph <jats:italic>G<\/jats:italic> is (<jats:italic>k<\/jats:italic><jats:sub>1<\/jats:sub>, <jats:italic>k<\/jats:italic><jats:sub>2<\/jats:sub>, \u2026, <jats:italic>k<\/jats:italic><jats:sub><jats:italic>t<\/jats:italic><\/jats:sub>)\u2010saturated if there exists a coloring <jats:italic>C<\/jats:italic> of the edges of <jats:italic>G<\/jats:italic> in <jats:italic>t<\/jats:italic> colors 1, 2, \u2026, <jats:italic>t<\/jats:italic> in such a way that there is no monochromatic complete <jats:italic>k<\/jats:italic><jats:sub><jats:italic>i<\/jats:italic><\/jats:sub>\u2010subgraph <jats:italic>K<\/jats:italic><jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/tex2gif-inf-5.gif\" xlink:title=\"urn:x-wiley:03649024:media:JGT3190110209:tex2gif-inf-5\"\/> of color <jats:italic>i<\/jats:italic>, 1 \u2a7d <jats:italic>i<\/jats:italic> \u2a7d <jats:italic>t<\/jats:italic>, but the addition of any new edge of color <jats:italic>i<\/jats:italic>, joining two nonadjacent vertices in <jats:italic>G<\/jats:italic>, with <jats:italic>C<\/jats:italic>, creates a monochromatic <jats:italic>K<\/jats:italic><jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/tex2gif-inf-7.gif\" xlink:title=\"urn:x-wiley:03649024:media:JGT3190110209:tex2gif-inf-7\"\/> of color <jats:italic>i<\/jats:italic>, 1 \u2a7d <jats:italic>i<\/jats:italic> \u2a7d <jats:italic>t<\/jats:italic>. We determine the maximum and minimum number of edges in such graphs and characterize the unique extremal graphs.<\/jats:p>","DOI":"10.1002\/jgt.3190110209","type":"journal-article","created":{"date-parts":[[2007,6,9]],"date-time":"2007-06-09T05:27:13Z","timestamp":1181366833000},"page":"191-196","source":"Crossref","is-referenced-by-count":13,"title":["Edge\u2010colored saturated graphs"],"prefix":"10.1002","volume":"11","author":[{"given":"D.","family":"Hanson","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"B.","family":"Toft","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,10,4]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01904851"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-349-03521-2"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1002\/jgt.3190100109"},{"key":"e_1_2_1_5_2","doi-asserted-by":"crossref","first-page":"122","DOI":"10.1215\/ijm\/1255631811","article-title":"On a theorem of Rademacher\u2010Turan","volume":"6","author":"Erd\u00f6s P.","year":"1962","journal-title":"Illinois J. 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