Nerves, minors, and piercing numbers
نویسندگان
چکیده
منابع مشابه
Piercing Numbers for Balanced and Unbalanced Families
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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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2019
ISSN: 0002-9947,1088-6850
DOI: 10.1090/tran/7608