{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,19]],"date-time":"2023-10-19T08:14:06Z","timestamp":1697703246124},"reference-count":2,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2009,2,13]],"date-time":"2009-02-13T00:00:00Z","timestamp":1234483200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Networks"],"published-print":{"date-parts":[[2009,8]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>The <jats:italic>k<\/jats:italic>\u2010degree Cayley graph has been proposed by Hsieh and Hsiao (Networks 47 (2006), 26\u201336). They have shown that the <jats:italic>k<\/jats:italic>\u2010degree Cayley graph is actually a Cayley graph. According to their definition, a generating set of that graph was defined implicitly. Therefore, it requires some effort to figure out that such graphs are actually Cayley graphs. In this article, we use the wreath product of groups to show that <jats:italic>k<\/jats:italic>\u2010degree Cayley graphs form a class of Cayley graphs. \u00a9 2009 Wiley Periodicals, Inc. NETWORKS, 2009<\/jats:p>","DOI":"10.1002\/net.20302","type":"journal-article","created":{"date-parts":[[2009,2,13]],"date-time":"2009-02-13T16:38:24Z","timestamp":1234543104000},"page":"20-22","source":"Crossref","is-referenced-by-count":0,"title":["A note on the <i>k<\/i>\u2010degree Cayley graph"],"prefix":"10.1002","volume":"54","author":[{"given":"Yuuki","family":"Tanaka","sequence":"first","affiliation":[]},{"given":"Yukio","family":"Shibata","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2009,2,13]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1002\/net.20096"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0190(95)00068-N"}],"container-title":["Networks"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fnet.20302","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/net.20302","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,18]],"date-time":"2023-10-18T10:25:54Z","timestamp":1697624754000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/net.20302"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,2,13]]},"references-count":2,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2009,8]]}},"alternative-id":["10.1002\/net.20302"],"URL":"https:\/\/doi.org\/10.1002\/net.20302","archive":["Portico"],"relation":{},"ISSN":["0028-3045","1097-0037"],"issn-type":[{"value":"0028-3045","type":"print"},{"value":"1097-0037","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,2,13]]}}}