{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:47Z","timestamp":1753893827263,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>Let $G$ be a directed planar graph on $n$ vertices, with no\u00a0directed cycle of length less than $g\\ge 4$. We prove that $G$\u00a0contains a set $X$ of vertices such that $G-X$ has no directed\u00a0cycle, and $|X|\\le \\tfrac{5n-5}9$ if $g=4$, $|X|\\le \\tfrac{2n-5}4$\u00a0if $g=5$, and $|X|\\le \\tfrac{2n-6}{g}$ if $g\\ge 6$. This improves\u00a0recent results of Golowich and Rolnick.<\/jats:p>","DOI":"10.37236\/6252","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T15:58:11Z","timestamp":1578671891000},"source":"Crossref","is-referenced-by-count":0,"title":["Small Feedback Vertex Sets in Planar Digraphs"],"prefix":"10.37236","volume":"24","author":[{"given":"Louis","family":"Esperet","sequence":"first","affiliation":[]},{"given":"Laetitia","family":"Lemoine","sequence":"additional","affiliation":[]},{"given":"Fr\u00e9d\u00e9ric","family":"Maffray","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2017,4,13]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v24i2p6\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v24i2p6\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T05:02:24Z","timestamp":1579237344000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v24i2p6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,4,13]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2017,4,13]]}},"URL":"https:\/\/doi.org\/10.37236\/6252","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2017,4,13]]},"article-number":"P2.6"}}