{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,20]],"date-time":"2023-10-20T04:14:12Z","timestamp":1697775252735},"reference-count":2,"publisher":"Wiley","issue":"2","license":[{"start":{"date-parts":[[2006,10,3]],"date-time":"2006-10-03T00:00:00Z","timestamp":1159833600000},"content-version":"vor","delay-in-days":10351,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Graph Theory"],"published-print":{"date-parts":[[1978,6]]},"abstract":"Abstract<\/jats:title>We show that the vertex set of any graph G<\/jats:italic> with p<\/jats:italic>\u2a7e2 vertices can be partitioned into non\u2010empty sets V<\/jats:italic>1<\/jats:sub>, V<\/jats:italic>2<\/jats:sub>, such that the maximum degree of the induced subgraph \u3008V<\/jats:italic>i<\/jats:sub>\u3009 does not exceed \n\n<\/jats:disp-formula> where pi<\/jats:sup> = |V<\/jats:italic>i<\/jats:sup>|, for i<\/jats:italic>=1, 2. Furthermore, the structure of the induced subgraphs is investigated in the extreme case.<\/jats:p>","DOI":"10.1002\/jgt.3190020210","type":"journal-article","created":{"date-parts":[[2007,5,29]],"date-time":"2007-05-29T06:16:26Z","timestamp":1180419386000},"page":"165-170","source":"Crossref","is-referenced-by-count":3,"title":["Graph Decompositions Satisfying Extremal Degree Constraints"],"prefix":"10.1002","volume":"2","author":[{"given":"Paul A.","family":"Catlin","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2006,10,3]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.21236\/AD0705364"},{"key":"e_1_2_1_3_2","first-page":"237","article-title":"On decomposition of graphs","volume":"1","author":"Lov\u00e1sz L.","year":"1966","journal-title":"Studia Sci. Math. Hungarica"}],"container-title":["Journal of Graph Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fjgt.3190020210","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/jgt.3190020210","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,19]],"date-time":"2023-10-19T10:15:37Z","timestamp":1697710537000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/jgt.3190020210"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1978,6]]},"references-count":2,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1978,6]]}},"alternative-id":["10.1002\/jgt.3190020210"],"URL":"https:\/\/doi.org\/10.1002\/jgt.3190020210","archive":["Portico"],"relation":{},"ISSN":["0364-9024","1097-0118"],"issn-type":[{"value":"0364-9024","type":"print"},{"value":"1097-0118","type":"electronic"}],"subject":[],"published":{"date-parts":[[1978,6]]}}}