{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:04Z","timestamp":1753893784526,"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 prove several results regarding edge-colored complete graphs and rainbow cycles, cycles with no color appearing on more than one edge. We settle a question posed by Ball, Pultr and Vojt\u011bchovsk\u00fd by showing that if such a coloring does not contain a rainbow cycle of length $n$, where $n$ is odd, then it also does not contain a rainbow cycle of length $m$ for all $m$ greater than $2n^2$.  In addition, we present two examples which demonstrate that a similar result does not hold for even $n$.  Finally, we state several open problems in the area.<\/jats:p>","DOI":"10.37236\/1131","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T04:55:38Z","timestamp":1578718538000},"source":"Crossref","is-referenced-by-count":2,"title":["On Lengths of Rainbow Cycles"],"prefix":"10.37236","volume":"13","author":[{"given":"Boris","family":"Alexeev","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2006,11,17]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v13i1r105\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v13i1r105\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T04:06:36Z","timestamp":1579320396000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v13i1r105"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,11,17]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2006,1,7]]}},"URL":"https:\/\/doi.org\/10.37236\/1131","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2006,11,17]]},"article-number":"R105"}}