{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,22]],"date-time":"2023-10-22T06:10:36Z","timestamp":1697955036958},"reference-count":3,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2006,10,3]],"date-time":"2006-10-03T00:00:00Z","timestamp":1159833600000},"content-version":"vor","delay-in-days":7886,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Graph Theory"],"published-print":{"date-parts":[[1985,3]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Rao posed the following conjecture, \u201cLet G be a self\u2010complementary graph of order <jats:italic>p<\/jats:italic>, \u03c0 = (d<jats:sub>1<\/jats:sub> \u2026 dp) be its degree sequence. Then G has a k\u2010factor if and only if \u03c0 \u2212 k, = (d1 \u2212 k, \u2026 dP \u2212 k) is graphical.\u201d We construct a family of counterexamples for this conjecture for every k \u2a7e 3.<\/jats:p>","DOI":"10.1002\/jgt.3190090109","type":"journal-article","created":{"date-parts":[[2007,5,29]],"date-time":"2007-05-29T07:47:58Z","timestamp":1180424878000},"page":"119-121","source":"Crossref","is-referenced-by-count":2,"title":["Rao's conjecture on self\u2010complementary graphs with <i>K<\/i>\u2010factors"],"prefix":"10.1002","volume":"9","author":[{"given":"Kiyoshi","family":"Ando","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","volume-title":"Graphs and Digraphs","author":"Behzad M.","year":"1979"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(83)90016-X"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(77)90157-1"}],"container-title":["Journal of Graph Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fjgt.3190090109","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/jgt.3190090109","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,21]],"date-time":"2023-10-21T05:46:33Z","timestamp":1697867193000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/jgt.3190090109"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1985,3]]},"references-count":3,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1985,3]]}},"alternative-id":["10.1002\/jgt.3190090109"],"URL":"https:\/\/doi.org\/10.1002\/jgt.3190090109","archive":["Portico"],"relation":{},"ISSN":["0364-9024","1097-0118"],"issn-type":[{"value":"0364-9024","type":"print"},{"value":"1097-0118","type":"electronic"}],"subject":[],"published":{"date-parts":[[1985,3]]}}}