The Unbalance of Set Systems
نویسندگان
چکیده
The unbalance of an intersecting family F is defined as |F|−d(F), where d(F) is the maximum degree of F ; the max |{F ∈ F : x ∈ F}| over all vertices x. We show that the unbalance of a k-uniform intersecting family is at most ( n−3 k−2 ) when n ≥ 6k3 and we determine all families achieving this bound.
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عنوان ژورنال:
- Graphs and Combinatorics
دوره 24 شماره
صفحات -
تاریخ انتشار 2008