{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,11,13]],"date-time":"2023-11-13T00:31:57Z","timestamp":1699835517276},"reference-count":5,"publisher":"Wiley","issue":"3","license":[{"start":{"date-parts":[[2006,10,3]],"date-time":"2006-10-03T00:00:00Z","timestamp":1159833600000},"content-version":"vor","delay-in-days":9528,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Graph Theory"],"published-print":{"date-parts":[[1980,9]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Gol'dberg has recently constructed an infinite family of 3\u2010critical graphs of even order. We now prove that if there exists a <jats:italic>p<\/jats:italic>(\u22654)\u2010critical graph <jats:italic>K<\/jats:italic> of odd order such that <jats:italic>K<\/jats:italic> has a vertex <jats:italic>u<\/jats:italic> of valency 2 and another vertex <jats:italic>v<\/jats:italic> \u2260 <jats:italic>u<\/jats:italic> of valency \u2264(<jats:italic>p<\/jats:italic> + 2)\/2, then there exists a <jats:italic>p<\/jats:italic>\u2010critical graph of even order.<\/jats:p>","DOI":"10.1002\/jgt.3190040309","type":"journal-article","created":{"date-parts":[[2007,5,26]],"date-time":"2007-05-26T10:47:19Z","timestamp":1180176439000},"page":"309-314","source":"Crossref","is-referenced-by-count":5,"title":["On the critical graph conjecture"],"prefix":"10.1002","volume":"4","author":[{"given":"Hian Poh","family":"Yap","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,10,3]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(73)90023-X"},{"key":"e_1_2_1_3_2","volume-title":"Research Notes in Math","author":"Fiorini S.","year":"1977"},{"key":"e_1_2_1_4_2","unstructured":"M. K.Gol'dberg On graphs of (maximum) degree 3 with chromatic index 4. Bull. Acad. Sci. Georgian SSR 93 No. 1 (1979)29\u201331[in Russian]."},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01228237"},{"key":"e_1_2_1_6_2","first-page":"9","article-title":"Critical graphs with a given chromatic class","volume":"5","author":"Vizing V. G.","year":"1965","journal-title":"Diskret Analiz"}],"container-title":["Journal of Graph Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fjgt.3190040309","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/jgt.3190040309","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,11,12]],"date-time":"2023-11-12T08:19:24Z","timestamp":1699777164000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/jgt.3190040309"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1980,9]]},"references-count":5,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1980,9]]}},"alternative-id":["10.1002\/jgt.3190040309"],"URL":"https:\/\/doi.org\/10.1002\/jgt.3190040309","archive":["Portico"],"relation":{},"ISSN":["0364-9024","1097-0118"],"issn-type":[{"value":"0364-9024","type":"print"},{"value":"1097-0118","type":"electronic"}],"subject":[],"published":{"date-parts":[[1980,9]]}}}