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Counting Intersecting and Pairs of Cross-Intersecting Families

Counting Intersecting and Pairs of Cross-Intersecting Families

A family of subsets of {1,. . ., n } is called intersecting if any two of its sets intersect. A classical result in extremal combinatorics due to Erdős, Ko and Rado determines the maximum size of an intersecting family of k -subsets of {1,. . ., n }. In …