{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,18]],"date-time":"2023-10-18T08:10:37Z","timestamp":1697616637258},"reference-count":5,"publisher":"Wiley","issue":"3","license":[{"start":{"date-parts":[[2006,3,9]],"date-time":"2006-03-09T00:00:00Z","timestamp":1141862400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/2.zoppoz.workers.dev:443\/http\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Graph Theory"],"published-print":{"date-parts":[[2006,7]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Let <jats:italic>Z<\/jats:italic><jats:sub><jats:italic>p<\/jats:italic><\/jats:sub> denote the cyclic group of order <jats:italic>p<\/jats:italic> where <jats:italic>p<\/jats:italic> is a prime number. Let <jats:italic>X<\/jats:italic> = <jats:italic>X<\/jats:italic>(<jats:italic>Z<\/jats:italic><jats:sub><jats:italic>p<\/jats:italic><\/jats:sub>, <jats:italic>H<\/jats:italic>) denote the Cayley digraph of <jats:italic>Z<\/jats:italic><jats:sub><jats:italic>p<\/jats:italic><\/jats:sub> with respect to the symbol <jats:italic>H<\/jats:italic>. We obtain a necessary and sufficient condition on <jats:italic>H<\/jats:italic> so that the complete graph on <jats:italic>p<\/jats:italic> vertices can be edge\u2010partitioned into three copies of Cayley digraphs of the same group <jats:italic>Z<\/jats:italic><jats:sub><jats:italic>p<\/jats:italic><\/jats:sub> each isomorphic to <jats:italic>X<\/jats:italic>. Based on this condition on <jats:italic>H<\/jats:italic>, we then enumerate all such Cayley graphs and digraphs. \u00a9 2006 Wiley Periodicals, Inc. J Graph Theory 52: 243\u2013256, 2006<\/jats:p>","DOI":"10.1002\/jgt.20159","type":"journal-article","created":{"date-parts":[[2006,3,9]],"date-time":"2006-03-09T18:16:47Z","timestamp":1141928207000},"page":"243-256","source":"Crossref","is-referenced-by-count":1,"title":["Isomorphic factorization of the complete graph into Cayley digraphs"],"prefix":"10.1002","volume":"52","author":[{"given":"G. L.","family":"Chia","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Poh\u2010Hwa","family":"Ong","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,3,9]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/0095-8956(73)90007-5"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1002\/jgt.3190100213"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0021-9800(70)80068-0"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.2307\/1997735"},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0021-9800(67)80003-6"}],"container-title":["Journal of Graph Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fjgt.20159","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/jgt.20159","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,18]],"date-time":"2023-10-18T07:33:42Z","timestamp":1697614422000},"score":1,"resource":{"primary":{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/onlinelibrary.wiley.com\/doi\/10.1002\/jgt.20159"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,3,9]]},"references-count":5,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2006,7]]}},"alternative-id":["10.1002\/jgt.20159"],"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/doi.org\/10.1002\/jgt.20159","archive":["Portico"],"relation":{},"ISSN":["0364-9024","1097-0118"],"issn-type":[{"value":"0364-9024","type":"print"},{"value":"1097-0118","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,3,9]]}}}