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(2010)ELECTRONIC JOURNAL OF COMBINATORICS.17(1). Mark abstract We classify the arcs in 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.

Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-1247342



Author: Kris Coolsaet and Heide Sticker

Source: https://biblio.ugent.be/publication/1247342



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