{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:44:01Z","timestamp":1753893841670,"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>In this paper, we prove that the full automorphism group of the derangement graph $\\Gamma_n$ ($n\\geq3$) is equal to  $(R(S_n)\\rtimes\\hbox{Inn} (S_n))\\rtimes Z_2$,   where $R(S_n)$ and $\\hbox{Inn} (S_n)$ are the right regular representation and the inner automorphism group of $S_n$ respectively, and $Z_2=\\langle\\varphi\\rangle$ with the mapping $\\varphi:$ $\\sigma^{\\varphi}=\\sigma^{-1},\\,\\forall\\,\\sigma\\in S_n.$ Moreover, all orbits on the edge set of $\\Gamma_n$ ($n\\geq3$) are determined.<\/jats:p>","DOI":"10.37236\/685","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T03:41:14Z","timestamp":1578714074000},"source":"Crossref","is-referenced-by-count":3,"title":["Automorphism Group of the Derangement Graph"],"prefix":"10.37236","volume":"18","author":[{"given":"Yun-Ping","family":"Deng","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiao-Dong","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"23455","published-online":{"date-parts":[[2011,10,3]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v18i1p198\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v18i1p198\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T23:01:07Z","timestamp":1579302067000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v18i1p198"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,10,3]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2011,1,5]]}},"URL":"https:\/\/doi.org\/10.37236\/685","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2011,10,3]]},"article-number":"P198"}}