{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,3]],"date-time":"2025-11-03T04:52:00Z","timestamp":1762145520728,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>We define and study embeddings of cycles in finite affine and projective planes. We show that for all $k$, $3\\le k\\le q^2$, \u00a0a $k$-cycle can be embedded in any affine plane of order $q$. We also prove a similar result for finite projective planes: for all $k$, $3\\le k\\le q^2+q+1$, \u00a0a $k$-cycle can be embedded in any projective plane of order $q$.<\/jats:p>","DOI":"10.37236\/3377","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T01:22:56Z","timestamp":1578705776000},"source":"Crossref","is-referenced-by-count":5,"title":["Embedding Cycles in Finite Planes"],"prefix":"10.37236","volume":"20","author":[{"given":"Felix","family":"Lazebnik","sequence":"first","affiliation":[]},{"given":"Keith E.","family":"Mellinger","sequence":"additional","affiliation":[]},{"given":"Oscar","family":"Vega","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2013,8,23]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v20i3p24\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v20i3p24\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T11:14:13Z","timestamp":1579259653000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v20i3p24"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,8,23]]},"references-count":0,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2013,7,19]]}},"URL":"https:\/\/doi.org\/10.37236\/3377","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2013,8,23]]},"article-number":"P24"}}