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On a conjecture of Karasev

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 نشر من قبل Seunghun Lee
 تاريخ النشر 2017
  مجال البحث
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Karasev conjectured that for any set of $3k$ lines in general position in the plane, which is partitioned into $3$ color classes of equal size $k$, the set can be partitioned into $k$ colorful 3-subsets such that all the triangles formed by the subsets have a point in common. Although the general conjecture is false, we show that Karasevs conjecture is true for lines in convex position. We also discuss possible generalizations of this result.



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