Arcs with Large Conical Subsets
نویسندگان
چکیده
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.
منابع مشابه
Arcs with Large Conical Subsets in Desarguesian Planes of Even Order
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ورودعنوان ژورنال:
- Electr. J. Comb.
دوره 17 شماره
صفحات -
تاریخ انتشار 2010