On the average size of sets in intersecting Sperner families
نویسندگان
چکیده
منابع مشابه
On the average size of sets in intersecting Sperner families
We show that the average size of subsets of [n] forming an intersecting Sperner family of cardinality not less than ( n−1 k−1 ) is at least k provided that k 6 n=2− √ n=2 + 1. The statement is not true if n=2¿ k ¿n=2−√8n+ 1=8+9=8. c © 2002 Elsevier Science B.V. All rights reserved.
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2002
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(02)00429-6