{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,19]],"date-time":"2025-11-19T07:01:22Z","timestamp":1763535682537,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>A  complete characterization of  locally primitive normal Cayley graphs of metacyclic groups is given. Namely, let $\\Gamma={\\rm Cay}(G,S)$ be such a graph, where $G\\cong{\\Bbb Z}_m.{\\Bbb Z}_n$ is a metacyclic group  and $m=p_1^{r_1}p_2^{r_2}\\cdots p_t^{r_t}$ such that $p_1 &lt; p_2 &lt; \\dots &lt; p_t$. It is proved that $G\\cong D_{2m}$ is a dihedral group, and $val(\\Gamma)=p$ is a prime such that $p|(p_1(p_1-1),p_2-1,\\dots,p_t-1)$. Moreover, three types of graphs are constructed which exactly form the class of locally primitive normal Cayley graphs of metacyclic groups.<\/jats:p>","DOI":"10.37236\/185","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T23:27:44Z","timestamp":1578698864000},"source":"Crossref","is-referenced-by-count":6,"title":["Locally Primitive Normal Cayley Graphs of Metacyclic Groups"],"prefix":"10.37236","volume":"16","author":[{"given":"Jiangmin","family":"Pan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"23455","published-online":{"date-parts":[[2009,8,7]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v16i1r96\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v16i1r96\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T21:42:04Z","timestamp":1579297324000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v16i1r96"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,8,7]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2009,1,7]]}},"URL":"https:\/\/doi.org\/10.37236\/185","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2009,8,7]]},"article-number":"R96"}}