Jiuqiang Liu

most citedFamilies of Sets with Intersecting Clusters

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math.CO2006★ 1 cited

Families of Sets with Intersecting Clusters

William Y. C. Chen, Jiuqiang Liu, Larry X. W. Wang

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 $c k$ elements with $…