{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T13:01:08Z","timestamp":1772283668836,"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>We classify the arcs in $\\mathrm{PG}(2,q)$, $q$ odd, which consist of $(q+3)\/2$ points of a conic $C$ and two points not on te conic but external to $C$, or $(q+1)\/2$ points of $C$ and two additional points, at least one of which is an internal point of $C$. We prove that for arcs of the latter type, the number of points internal to $C$ can be at most $4$, and we give a complete classification of all arcs that attain this bound.  Finally, we list some computer results on extending arcs of both types with further points.<\/jats:p>","DOI":"10.37236\/384","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T04:10:45Z","timestamp":1578715845000},"source":"Crossref","is-referenced-by-count":3,"title":["Arcs with Large Conical Subsets"],"prefix":"10.37236","volume":"17","author":[{"given":"K.","family":"Coolsaet","sequence":"first","affiliation":[]},{"given":"H.","family":"Sticker","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2010,8,9]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v17i1r112\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v17i1r112\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T23:27:57Z","timestamp":1579303677000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v17i1r112"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,8,9]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2010,1,5]]}},"URL":"https:\/\/doi.org\/10.37236\/384","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,8,9]]},"article-number":"R112"}}