{"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":1697868610325},"reference-count":4,"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":8067,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Graph Theory"],"published-print":{"date-parts":[[1984,9]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Several authors have shown that if <jats:italic>G<\/jats:italic> is a connected graph of even order then its square <jats:italic>G<\/jats:italic><jats:sup>2<\/jats:sup> has a 1\u2010factor. We show that the square of any connected graph of order 2<jats:italic>n<\/jats:italic> has at least <jats:italic>n<\/jats:italic> 1\u2010factors and describe all the extremal graphs.<\/jats:p>","DOI":"10.1002\/jgt.3190080308","type":"journal-article","created":{"date-parts":[[2007,5,26]],"date-time":"2007-05-26T11:20:46Z","timestamp":1180178446000},"page":"399-403","source":"Crossref","is-referenced-by-count":1,"title":["The multiplicity of 1\u2010factors in the square of a graph"],"prefix":"10.1002","volume":"8","author":[{"given":"G. R. T.","family":"Hendry","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2006,10,3]]},"reference":[{"key":"e_1_2_1_2_2","volume-title":"Graphs and Digraphs","author":"Behzad M.","year":"1979"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/1385-7258(73)90007-3"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1002\/jgt.3190020308"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.2307\/2039666"}],"container-title":["Journal of Graph Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fjgt.3190080308","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/jgt.3190080308","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,20]],"date-time":"2023-10-20T12:20:17Z","timestamp":1697804417000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/jgt.3190080308"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1984,9]]},"references-count":4,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1984,9]]}},"alternative-id":["10.1002\/jgt.3190080308"],"URL":"https:\/\/doi.org\/10.1002\/jgt.3190080308","archive":["Portico"],"relation":{},"ISSN":["0364-9024","1097-0118"],"issn-type":[{"value":"0364-9024","type":"print"},{"value":"1097-0118","type":"electronic"}],"subject":[],"published":{"date-parts":[[1984,9]]}}}