{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:52Z","timestamp":1753893832726,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>Let $\\mathcal F=(\\rm\\bf K_{n},\\mathcal P)$ be a circulant homogeneous factorisation of index $k$, that means $\\mathcal P$ is a partition of the arc set of the complete digraph $\\rm\\bf K_n$ into $k$ circulant factor digraphs such that there exists $\\sigma\\in S_n$ permuting the factor circulants transitively amongst themselves. Suppose further such an element $\\sigma$ normalises the cyclic regular automorphism group of these circulant factor digraphs, we say $\\mathcal F$ is normal. Let $\\mathcal F=(\\rm\\bf K_{p^d},\\mathcal P)$ be a circulant homogeneous factorisation of index $k$ where $p^d$, \u00a0($d\\ge 1$) is an odd prime power. It is shown in this paper that either $\\mathcal F$ is normal or $\\mathcal F$ is a lexicographic product of two smaller circulant homogeneous factorisations.<\/jats:p>","DOI":"10.37236\/6477","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T10:54:54Z","timestamp":1578653694000},"source":"Crossref","is-referenced-by-count":0,"title":["Circulant Homogeneous Factorisations of Complete Digraphs $\\rm\\bf K_{p^d}$ with $p$ an Odd Prime"],"prefix":"10.37236","volume":"24","author":[{"given":"Jing","family":"Xu","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2017,6,2]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v24i2p27\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v24i2p27\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,16]],"date-time":"2020-01-16T23:56:45Z","timestamp":1579219005000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v24i2p27"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,6,2]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2017,4,13]]}},"URL":"https:\/\/doi.org\/10.37236\/6477","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2017,6,2]]},"article-number":"P2.27"}}