{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,20]],"date-time":"2026-02-20T20:50:11Z","timestamp":1771620611461,"version":"3.50.1"},"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>The unitary Cayley graph $X_n$ has vertex set $Z_n=\\{0,1, \\ldots ,n-1\\}$.  Vertices $a, b$ are adjacent, if gcd$(a-b,n)=1$. For $X_n$ the chromatic number, the clique number, the independence number, the diameter and the vertex connectivity are determined. We decide on the perfectness of $X_n$ and show that all nonzero eigenvalues of $X_n$ are integers dividing the value $\\varphi(n)$ of the Euler function.<\/jats:p>","DOI":"10.37236\/963","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T04:50:27Z","timestamp":1578718227000},"source":"Crossref","is-referenced-by-count":86,"title":["Some Properties of Unitary Cayley Graphs"],"prefix":"10.37236","volume":"14","author":[{"given":"Walter","family":"Klotz","sequence":"first","affiliation":[]},{"given":"Torsten","family":"Sander","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2007,6,21]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v14i1r45\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v14i1r45\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T04:02:34Z","timestamp":1579320154000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v14i1r45"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,6,21]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2007,1,3]]}},"URL":"https:\/\/doi.org\/10.37236\/963","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,6,21]]},"article-number":"R45"}}