Covers in partitioned intersecting hypergraphs
نویسندگان
چکیده
منابع مشابه
Most Probably Intersecting Hypergraphs
The celebrated Erdős-Ko-Rado theorem shows that for n > 2k the largest intersecting k-uniform set family on [n] has size ( n−1 k−1 ) . It is natural to ask how far from intersecting larger set families must be. Katona, Katona and Katona introduced the notion of most probably intersecting families, which maximise the probability of random subfamilies being intersecting. We consider the most prob...
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An intersecting hypergraph is one in which each pair of edges has a nonempty intersection. Here, we consider r-uniform hypergraphs which are those for which all edges contain r vertices. ∗Supported in part by NSF grant DMS-0100400. †Supported in part by NSF grant CCR-9818411. ‡Supported in part by NSF VIGRE grant DMS-9819950. §Research was partially supported by OTKA Grants T 030059, T 029074, ...
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ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 2016
ISSN: 0195-6698
DOI: 10.1016/j.ejc.2015.05.005