{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:09Z","timestamp":1753893789177,"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 that for all $\\ell \\ge 3$ and $\\beta &gt;0$ there exists a sparse oriented graph of arbitrarily large order with oriented girth $\\ell$ and such that any $1\/2 + \\beta$ proportion of its arcs induces an oriented cycle of length $\\ell$. As a corollary we get that there exist infinitely many oriented graphs with vanishing density of oriented girth $\\ell$ such that deleting any $1\/\\ell$-fraction of their edges does not destroy all their oriented cycles.  The proof is probabilistic.<\/jats:p>","DOI":"10.37236\/1661","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T02:25:01Z","timestamp":1578709501000},"source":"Crossref","is-referenced-by-count":1,"title":["A Density Result for Random Sparse Oriented Graphs and its Relation to a Conjecture of Woodall"],"prefix":"10.37236","volume":"9","author":[{"given":"Jair","family":"Donadelli","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yoshiharu","family":"Kohayakawa","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"23455","published-online":{"date-parts":[[2002,11,16]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v9i1r45\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v9i1r45\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T05:12:57Z","timestamp":1579324377000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v9i1r45"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,11,16]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2002,1,1]]}},"URL":"https:\/\/doi.org\/10.37236\/1661","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2002,11,16]]},"article-number":"R45"}}