Piercing Numbers for Balanced and Unbalanced Families
نویسندگان
چکیده
Given a finite family F of convex sets in R, we say that F has the (p, q)r property if for any p convex sets in F there are at least r q-tuples that have non empty intersection. The piercing number of F is the minimum number of points we need to intersect all the sets in F . In this paper we willl find some bounds for the piercing number of families of convex sets with (p, q)r properties.
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ورودعنوان ژورنال:
- Discrete & Computational Geometry
دوره 45 شماره
صفحات -
تاریخ انتشار 2011