Families of Sets with Intersecting Clusters

Details Families of Sets with Intersecting Clusters Families of Sets with Intersecting Clusters

2006-05-07

arxiv.org/abs/math/0605171v3

Mathematics

Combinatorics

14 pages; Final version, to appear in SIAM J. Discrete Math

Scientific paper

A family of $k$-subsets $A_1, A_2, ..., A_d$ on $[n]=\{1,2,..., n\}$ is called a $(d, c)$-cluster if the union $A_1\cup A_2 \cup ... \cup A_d$ contains at most $ck$ elements with $c

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