{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:44:08Z","timestamp":1753893848534,"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>We compute the spectrum of the Schreier graph of the symmetric group $S_n$ corresponding to the Young subgroup $S_2\\times S_{n-2}$ and the generating set consisting of initial reversals.  In particular, we show that this spectrum is integral and for $n\\geq 8$ consists precisely of the integers $\\{0,1,\\ldots,n\\}$.  A consequence is that the first positive eigenvalue of the Laplacian is always $1$ for this family of graphs. <\/jats:p>","DOI":"10.37236\/961","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T04:50:37Z","timestamp":1578718237000},"source":"Crossref","is-referenced-by-count":1,"title":["On Certain Integral Schreier Graphs of the Symmetric Group"],"prefix":"10.37236","volume":"14","author":[{"given":"Paul E.","family":"Gunnells","sequence":"first","affiliation":[]},{"given":"Richard A.","family":"Scott","sequence":"additional","affiliation":[]},{"given":"Byron L.","family":"Walden","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2007,5,31]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v14i1r43\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v14i1r43\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T04:02:46Z","timestamp":1579320166000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v14i1r43"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,5,31]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2007,1,3]]}},"URL":"https:\/\/doi.org\/10.37236\/961","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2007,5,31]]},"article-number":"R43"}}